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Simplifying 3(r + 4) = -3(5 + 2r) Reorder the terms: 3(4 + r) = -3(5 + 2r) (4 * 3 + r * 3) = -3(5 + 2r) (12 + 3r) = -3(5 + 2r) 12 + 3r = (5 * -3 + 2r * -3) 12 + 3r = (-15 + -6r) Solving 12 + 3r = -15 + -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. 12 + 3r + 6r = -15 + -6r + 6r Combine like terms: 3r + 6r = 9r 12 + 9r = -15 + -6r + 6r Combine like terms: -6r + 6r = 0 12 + 9r = -15 + 0 12 + 9r = -15 Add '-12' to each side of the equation. 12 + -12 + 9r = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 9r = -15 + -12 9r = -15 + -12 Combine like terms: -15 + -12 = -27 9r = -27 Divide each side by '9'. r = -3 Simplifying r = -3
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