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Simplifying -32 + -1r = 8(3r + -3) + -8 Reorder the terms: -32 + -1r = 8(-3 + 3r) + -8 -32 + -1r = (-3 * 8 + 3r * 8) + -8 -32 + -1r = (-24 + 24r) + -8 Reorder the terms: -32 + -1r = -24 + -8 + 24r Combine like terms: -24 + -8 = -32 -32 + -1r = -32 + 24r Add '32' to each side of the equation. -32 + 32 + -1r = -32 + 32 + 24r Combine like terms: -32 + 32 = 0 0 + -1r = -32 + 32 + 24r -1r = -32 + 32 + 24r Combine like terms: -32 + 32 = 0 -1r = 0 + 24r -1r = 24r Solving -1r = 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. -1r + -24r = 24r + -24r Combine like terms: -1r + -24r = -25r -25r = 24r + -24r Combine like terms: 24r + -24r = 0 -25r = 0 Divide each side by '-25'. r = 0 Simplifying r = 0
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