Solve for r. -6r = -8r - 8 r = ____

Addition of like terms: First, we want to get all the terms with r on one side of the equation and the constants on the other side. We can do this by adding 8r to both sides of the equation. -6r + 8r = -8r - 8 + 8rSimplification of equation: Now, we simplify the equation by combining like terms on both sides. -6r + 8r = 2r -8r + 8r = 0 So, the equation becomes: 2r = -8Division to solve: To solve for r, we divide both sides of the equation by 2. 2r / 2 = -8 / 2Final value of r: After dividing, we get the value of r. r = -4

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Solve for $r$ . $\newline$ $-6r = -8r - 8$ $\newline$ $r =$ ____

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Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

r

\newline

-6r = -8r - 8

\newline

r =

____

Addition of like terms: First, we want to get all the terms with $r$ on one side of the equation and the constants on the other side. We can do this by adding $8r$ to both sides of the equation. $\newline$ $-6r + 8r = -8r - 8 + 8r$
Simplification of equation: Now, we simplify the equation by combining like terms on both sides. $\newline$ $-6r + 8r = 2r$ $\newline$ $-8r + 8r = 0$ $\newline$ So, the equation becomes: $\newline$ $2r = -8$
Division to solve: To solve for $r$ , we divide both sides of the equation by $2$ . $\frac{2r}{2} = \frac{-8}{2}$
Final value of r: After dividing, we get the value of $r$ . $r = -4$