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Simplifying 5(r + 4) = -2(r + -3) Reorder the terms: 5(4 + r) = -2(r + -3) (4 * 5 + r * 5) = -2(r + -3) (20 + 5r) = -2(r + -3) Reorder the terms: 20 + 5r = -2(-3 + r) 20 + 5r = (-3 * -2 + r * -2) 20 + 5r = (6 + -2r) Solving 20 + 5r = 6 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 20 + 5r + 2r = 6 + -2r + 2r Combine like terms: 5r + 2r = 7r 20 + 7r = 6 + -2r + 2r Combine like terms: -2r + 2r = 0 20 + 7r = 6 + 0 20 + 7r = 6 Add '-20' to each side of the equation. 20 + -20 + 7r = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 7r = 6 + -20 7r = 6 + -20 Combine like terms: 6 + -20 = -14 7r = -14 Divide each side by '7'. r = -2 Simplifying r = -2
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