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Simplifying 9(4 + -1r) = 5(-3r + -12) (4 * 9 + -1r * 9) = 5(-3r + -12) (36 + -9r) = 5(-3r + -12) Reorder the terms: 36 + -9r = 5(-12 + -3r) 36 + -9r = (-12 * 5 + -3r * 5) 36 + -9r = (-60 + -15r) Solving 36 + -9r = -60 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. 36 + -9r + 15r = -60 + -15r + 15r Combine like terms: -9r + 15r = 6r 36 + 6r = -60 + -15r + 15r Combine like terms: -15r + 15r = 0 36 + 6r = -60 + 0 36 + 6r = -60 Add '-36' to each side of the equation. 36 + -36 + 6r = -60 + -36 Combine like terms: 36 + -36 = 0 0 + 6r = -60 + -36 6r = -60 + -36 Combine like terms: -60 + -36 = -96 6r = -96 Divide each side by '6'. r = -16 Simplifying r = -16
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