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Simplifying 12 = 5(-3 + 2) + -1(r + -1) Combine like terms: -3 + 2 = -1 12 = 5(-1) + -1(r + -1) Multiply 5 * -1 12 = -5 + -1(r + -1) Reorder the terms: 12 = -5 + -1(-1 + r) 12 = -5 + (-1 * -1 + r * -1) 12 = -5 + (1 + -1r) Combine like terms: -5 + 1 = -4 12 = -4 + -1r Solving 12 = -4 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 12 + r = -4 + -1r + r Combine like terms: -1r + r = 0 12 + r = -4 + 0 12 + r = -4 Add '-12' to each side of the equation. 12 + -12 + r = -4 + -12 Combine like terms: 12 + -12 = 0 0 + r = -4 + -12 r = -4 + -12 Combine like terms: -4 + -12 = -16 r = -16 Simplifying r = -16
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