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Simplifying 4(-8r + 4) = 40 + -8r Reorder the terms: 4(4 + -8r) = 40 + -8r (4 * 4 + -8r * 4) = 40 + -8r (16 + -32r) = 40 + -8r Solving 16 + -32r = 40 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 16 + -32r + 8r = 40 + -8r + 8r Combine like terms: -32r + 8r = -24r 16 + -24r = 40 + -8r + 8r Combine like terms: -8r + 8r = 0 16 + -24r = 40 + 0 16 + -24r = 40 Add '-16' to each side of the equation. 16 + -16 + -24r = 40 + -16 Combine like terms: 16 + -16 = 0 0 + -24r = 40 + -16 -24r = 40 + -16 Combine like terms: 40 + -16 = 24 -24r = 24 Divide each side by '-24'. r = -1 Simplifying r = -1
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