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Simplifying -2(r + 9) + 28 = 3(r + -3) Reorder the terms: -2(9 + r) + 28 = 3(r + -3) (9 * -2 + r * -2) + 28 = 3(r + -3) (-18 + -2r) + 28 = 3(r + -3) Reorder the terms: -18 + 28 + -2r = 3(r + -3) Combine like terms: -18 + 28 = 10 10 + -2r = 3(r + -3) Reorder the terms: 10 + -2r = 3(-3 + r) 10 + -2r = (-3 * 3 + r * 3) 10 + -2r = (-9 + 3r) Solving 10 + -2r = -9 + 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. 10 + -2r + -3r = -9 + 3r + -3r Combine like terms: -2r + -3r = -5r 10 + -5r = -9 + 3r + -3r Combine like terms: 3r + -3r = 0 10 + -5r = -9 + 0 10 + -5r = -9 Add '-10' to each side of the equation. 10 + -10 + -5r = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -5r = -9 + -10 -5r = -9 + -10 Combine like terms: -9 + -10 = -19 -5r = -19 Divide each side by '-5'. r = 3.8 Simplifying r = 3.8
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