Solve for q. 3(q+(4)/(3))=2

Distribute terms: Distribute the 3 to both terms inside the parentheses. Using distributive property: 3(q + 4/3) = 3*q + 3*(4/3) = 3q + 4Rewrite equation: Rewrite the equation after distribution to isolate the variable term on one side. 3q + 4 = 2Subtract to isolate: Subtract 4 from both sides to isolate the term with the variable q. 3q + 4 - 4 = 2 - 4 3q = -2Divide to solve: Divide both sides by 3 to solve for q. 3q / 3 = -2 / 3 q = -2 / 3

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Solve for $q$ . $\newline$ $3\left(q+\frac{4}{3}\right)=2$

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

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Q. Solve for

q

\newline

3\left(q+\frac{4}{3}\right)=2

Distribute terms: Distribute the $3$ to both terms inside the parentheses. $\newline$ Using distributive property: $\newline$ $3(q + \frac{4}{3}) = 3\cdot q + 3\cdot(\frac{4}{3})$ $\newline$ $= 3q + 4$
Rewrite equation: Rewrite the equation after distribution to isolate the variable term on one side. $\newline$ $3q + 4 = 2$
Subtract to isolate: Subtract $4$ from both sides to isolate the term with the variable $q$ . $\newline$ $3q + 4 - 4 = 2 - 4$ $\newline$ $3q = -2$
Divide to solve: Divide both sides by $3$ to solve for $q$ . $\frac{3q}{3} = \frac{-2}{3}$ $q = \frac{-2}{3}$