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Simplifying -3(-5m + 5) + 7m = 9(7m + 12) Reorder the terms: -3(5 + -5m) + 7m = 9(7m + 12) (5 * -3 + -5m * -3) + 7m = 9(7m + 12) (-15 + 15m) + 7m = 9(7m + 12) Combine like terms: 15m + 7m = 22m -15 + 22m = 9(7m + 12) Reorder the terms: -15 + 22m = 9(12 + 7m) -15 + 22m = (12 * 9 + 7m * 9) -15 + 22m = (108 + 63m) Solving -15 + 22m = 108 + 63m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-63m' to each side of the equation. -15 + 22m + -63m = 108 + 63m + -63m Combine like terms: 22m + -63m = -41m -15 + -41m = 108 + 63m + -63m Combine like terms: 63m + -63m = 0 -15 + -41m = 108 + 0 -15 + -41m = 108 Add '15' to each side of the equation. -15 + 15 + -41m = 108 + 15 Combine like terms: -15 + 15 = 0 0 + -41m = 108 + 15 -41m = 108 + 15 Combine like terms: 108 + 15 = 123 -41m = 123 Divide each side by '-41'. m = -3 Simplifying m = -3
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