Solve for e. Give an exact answer. {:[0.75(8+e)=2-1.25 e],[e=]:}

Simplify equation using distributive property: Simplify the equation 0.75(8+e) by using the distributive property. 0.75(8+e) = 0.75*8 + 0.75*e = 6 + 0.75eSubstitute simplified expression into original equation: Substitute the simplified expression into the original equation. 6 + 0.75e = 2 - 1.25eCombine like terms: Combine like terms by moving all terms involving e to one side of the equation and constants to the other side. 0.75e + 1.25e = 2 - 6 2e = -4Divide both sides of equation: Divide both sides of the equation by 2 to solve for e. 2e / 2 = -4 / 2 e = -2

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Solve for
e.
Give an exact answer.

{:[0.75(8+e)=2-1.25 e],[e=]:}

Solve for $e$ . $\newline$ Give an exact answer. $\newline$ $\begin{array}{l} 0.75(8+e)=2-1.25 e \\ e=\square \end{array}$

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Math Problems

Algebra 1

Solve multi-step linear equations

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Q. Solve for

e

\newline

Give an exact answer.

\newline

\begin{array}{l} 0.75(8+e)=2-1.25 e \\ e=\square \end{array}

Simplify equation using distributive property: Simplify the equation $0.75(8+e)$ by using the distributive property. $\newline$ $0.75(8+e)$ $\newline$ = $0.75 \times 8 + 0.75 \times e$ $\newline$ = $6 + 0.75e$
Substitute simplified expression into original equation: Substitute the simplified expression into the original equation. $6 + 0.75e = 2 - 1.25e$
Combine like terms: Combine like terms by moving all terms involving $e$ to one side of the equation and constants to the other side. $\newline$ $0.75e + 1.25e = 2 - 6$ $\newline$ $2e = -4$
Divide both sides of equation: Divide both sides of the equation by $2$ to solve for $e$ . $\newline$ $\frac{2e}{2} = \frac{-4}{2}$ $\newline$ $e = -2$