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Simplifying -1(r + 8) = -32 + 3r Reorder the terms: -1(8 + r) = -32 + 3r (8 * -1 + r * -1) = -32 + 3r (-8 + -1r) = -32 + 3r Solving -8 + -1r = -32 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -8 + -1r + -3r = -32 + 3r + -3r Combine like terms: -1r + -3r = -4r -8 + -4r = -32 + 3r + -3r Combine like terms: 3r + -3r = 0 -8 + -4r = -32 + 0 -8 + -4r = -32 Add '8' to each side of the equation. -8 + 8 + -4r = -32 + 8 Combine like terms: -8 + 8 = 0 0 + -4r = -32 + 8 -4r = -32 + 8 Combine like terms: -32 + 8 = -24 -4r = -24 Divide each side by '-4'. r = 6 Simplifying r = 6
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