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Simplifying 12 = 5(-3r + 2) + -1(r + -1) Reorder the terms: 12 = 5(2 + -3r) + -1(r + -1) 12 = (2 * 5 + -3r * 5) + -1(r + -1) 12 = (10 + -15r) + -1(r + -1) Reorder the terms: 12 = 10 + -15r + -1(-1 + r) 12 = 10 + -15r + (-1 * -1 + r * -1) 12 = 10 + -15r + (1 + -1r) Reorder the terms: 12 = 10 + 1 + -15r + -1r Combine like terms: 10 + 1 = 11 12 = 11 + -15r + -1r Combine like terms: -15r + -1r = -16r 12 = 11 + -16r Solving 12 = 11 + -16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16r' to each side of the equation. 12 + 16r = 11 + -16r + 16r Combine like terms: -16r + 16r = 0 12 + 16r = 11 + 0 12 + 16r = 11 Add '-12' to each side of the equation. 12 + -12 + 16r = 11 + -12 Combine like terms: 12 + -12 = 0 0 + 16r = 11 + -12 16r = 11 + -12 Combine like terms: 11 + -12 = -1 16r = -1 Divide each side by '16'. r = -0.0625 Simplifying r = -0.0625
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