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Simplifying -12 = 3(5 + -1r) -12 = (5 * 3 + -1r * 3) -12 = (15 + -3r) Solving -12 = 15 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -12 + 3r = 15 + -3r + 3r Combine like terms: -3r + 3r = 0 -12 + 3r = 15 + 0 -12 + 3r = 15 Add '12' to each side of the equation. -12 + 12 + 3r = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 3r = 15 + 12 3r = 15 + 12 Combine like terms: 15 + 12 = 27 3r = 27 Divide each side by '3'. r = 9 Simplifying r = 9
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