Solve for h. Give an exact answer. {:[3h=7((2)/(7)-(3)/(7)h)-10],[h=]:}

Combine like terms: Simplify the expression inside the parentheses by combining like terms. 7(2/7 - 3/7h) = 7 * 2/7 - 7 * 3/7h = 2 - 3hSubstitute simplified expression: Substitute the simplified expression back into the original equation. 3h = 7(2 - 3h) - 10Distribute the 7: Distribute the 7 across the terms inside the parentheses. 3h = 7 * 2 - 7 * 3h - 10 = 14 - 21h - 10Combine like terms on the right side: Combine like terms on the right side of the equation. 3h = 14 - 21h - 10 3h = 4 - 21hAdd 21h to both sides: Add 21h to both sides of the equation to get all the h terms on one side. 3h + 21h = 4 - 21h + 21h 24h = 4Divide both sides by 24: Divide both sides of the equation by 24 to solve for h. 24h / 24 = 4 / 24 h = 1/6

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Solve for
h.
Give an exact answer.

{:[3h=7((2)/(7)-(3)/(7)h)-10],[h=]:}

Solve for $h$ . $\newline$ Give an exact answer. $\newline$ $\begin{array}{l} 3 h=7\left(\frac{2}{7}-\frac{3}{7} h\right)-10 \\ h= \end{array}$

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Math Problems

Algebra 1

Solve multi-step linear equations

Full solution

Q. Solve for

h

\newline

Give an exact answer.

\newline

\begin{array}{l} 3 h=7\left(\frac{2}{7}-\frac{3}{7} h\right)-10 \\ h= \end{array}

Combine like terms: Simplify the expression inside the parentheses by combining like terms. $\newline$ $7\left(\frac{2}{7} - \frac{3}{7}h\right) = 7 \times \frac{2}{7} - 7 \times \frac{3}{7}h$ $\newline$ $= 2 - 3h$
Substitute simplified expression: Substitute the simplified expression back into the original equation. $\newline$ $3h = 7(2 - 3h) - 10$
Distribute the $7$ : Distribute the $7$ across the terms inside the parentheses. $\newline$ $3h = 7 \times 2 - 7 \times 3h - 10$ $\newline$ $= 14 - 21h - 10$
Combine like terms on the right side: Combine like terms on the right side of the equation. $\newline$ $3h = 14 - 21h - 10$ $\newline$ $3h = 4 - 21h$
Add $21h$ to both sides: Add $21h$ to both sides of the equation to get all the $h$ terms on one side. $\newline$ $3h + 21h = 4 - 21h + 21h$ $\newline$ $24h = 4$
Divide both sides by $24$ : Divide both sides of the equation by $24$ to solve for $h$ . $\frac{24h}{24} = \frac{4}{24}$ $h = \frac{1}{6}$