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Simplifying 12(7r + -1) = 12(8r + 2) Reorder the terms: 12(-1 + 7r) = 12(8r + 2) (-1 * 12 + 7r * 12) = 12(8r + 2) (-12 + 84r) = 12(8r + 2) Reorder the terms: -12 + 84r = 12(2 + 8r) -12 + 84r = (2 * 12 + 8r * 12) -12 + 84r = (24 + 96r) Solving -12 + 84r = 24 + 96r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-96r' to each side of the equation. -12 + 84r + -96r = 24 + 96r + -96r Combine like terms: 84r + -96r = -12r -12 + -12r = 24 + 96r + -96r Combine like terms: 96r + -96r = 0 -12 + -12r = 24 + 0 -12 + -12r = 24 Add '12' to each side of the equation. -12 + 12 + -12r = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -12r = 24 + 12 -12r = 24 + 12 Combine like terms: 24 + 12 = 36 -12r = 36 Divide each side by '-12'. r = -3 Simplifying r = -3
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