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Simplifying -152 = -8 + -4(1 + -7r) -152 = -8 + (1 * -4 + -7r * -4) -152 = -8 + (-4 + 28r) Combine like terms: -8 + -4 = -12 -152 = -12 + 28r Solving -152 = -12 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. -152 + -28r = -12 + 28r + -28r Combine like terms: 28r + -28r = 0 -152 + -28r = -12 + 0 -152 + -28r = -12 Add '152' to each side of the equation. -152 + 152 + -28r = -12 + 152 Combine like terms: -152 + 152 = 0 0 + -28r = -12 + 152 -28r = -12 + 152 Combine like terms: -12 + 152 = 140 -28r = 140 Divide each side by '-28'. r = -5 Simplifying r = -5
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