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Simplifying -12(1 + 8r) + 7 = -10(1 + -11r) + 5 (1 * -12 + 8r * -12) + 7 = -10(1 + -11r) + 5 (-12 + -96r) + 7 = -10(1 + -11r) + 5 Reorder the terms: -12 + 7 + -96r = -10(1 + -11r) + 5 Combine like terms: -12 + 7 = -5 -5 + -96r = -10(1 + -11r) + 5 -5 + -96r = (1 * -10 + -11r * -10) + 5 -5 + -96r = (-10 + 110r) + 5 Reorder the terms: -5 + -96r = -10 + 5 + 110r Combine like terms: -10 + 5 = -5 -5 + -96r = -5 + 110r Add '5' to each side of the equation. -5 + 5 + -96r = -5 + 5 + 110r Combine like terms: -5 + 5 = 0 0 + -96r = -5 + 5 + 110r -96r = -5 + 5 + 110r Combine like terms: -5 + 5 = 0 -96r = 0 + 110r -96r = 110r Solving -96r = 110r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-110r' to each side of the equation. -96r + -110r = 110r + -110r Combine like terms: -96r + -110r = -206r -206r = 110r + -110r Combine like terms: 110r + -110r = 0 -206r = 0 Divide each side by '-206'. r = 0 Simplifying r = 0
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