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Simplifying 9(-1r + 16) + -12 = 6(r + -3) Reorder the terms: 9(16 + -1r) + -12 = 6(r + -3) (16 * 9 + -1r * 9) + -12 = 6(r + -3) (144 + -9r) + -12 = 6(r + -3) Reorder the terms: 144 + -12 + -9r = 6(r + -3) Combine like terms: 144 + -12 = 132 132 + -9r = 6(r + -3) Reorder the terms: 132 + -9r = 6(-3 + r) 132 + -9r = (-3 * 6 + r * 6) 132 + -9r = (-18 + 6r) Solving 132 + -9r = -18 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 132 + -9r + -6r = -18 + 6r + -6r Combine like terms: -9r + -6r = -15r 132 + -15r = -18 + 6r + -6r Combine like terms: 6r + -6r = 0 132 + -15r = -18 + 0 132 + -15r = -18 Add '-132' to each side of the equation. 132 + -132 + -15r = -18 + -132 Combine like terms: 132 + -132 = 0 0 + -15r = -18 + -132 -15r = -18 + -132 Combine like terms: -18 + -132 = -150 -15r = -150 Divide each side by '-15'. r = 10 Simplifying r = 10
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