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Simplifying -99 = 7 + 2(6r + -5) Reorder the terms: -99 = 7 + 2(-5 + 6r) -99 = 7 + (-5 * 2 + 6r * 2) -99 = 7 + (-10 + 12r) Combine like terms: 7 + -10 = -3 -99 = -3 + 12r Solving -99 = -3 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -99 + -12r = -3 + 12r + -12r Combine like terms: 12r + -12r = 0 -99 + -12r = -3 + 0 -99 + -12r = -3 Add '99' to each side of the equation. -99 + 99 + -12r = -3 + 99 Combine like terms: -99 + 99 = 0 0 + -12r = -3 + 99 -12r = -3 + 99 Combine like terms: -3 + 99 = 96 -12r = 96 Divide each side by '-12'. r = -8 Simplifying r = -8
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