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Simplifying 5(4 + -1m) + 8 = -9(7m + -10) + 2 (4 * 5 + -1m * 5) + 8 = -9(7m + -10) + 2 (20 + -5m) + 8 = -9(7m + -10) + 2 Reorder the terms: 20 + 8 + -5m = -9(7m + -10) + 2 Combine like terms: 20 + 8 = 28 28 + -5m = -9(7m + -10) + 2 Reorder the terms: 28 + -5m = -9(-10 + 7m) + 2 28 + -5m = (-10 * -9 + 7m * -9) + 2 28 + -5m = (90 + -63m) + 2 Reorder the terms: 28 + -5m = 90 + 2 + -63m Combine like terms: 90 + 2 = 92 28 + -5m = 92 + -63m Solving 28 + -5m = 92 + -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. 28 + -5m + 63m = 92 + -63m + 63m Combine like terms: -5m + 63m = 58m 28 + 58m = 92 + -63m + 63m Combine like terms: -63m + 63m = 0 28 + 58m = 92 + 0 28 + 58m = 92 Add '-28' to each side of the equation. 28 + -28 + 58m = 92 + -28 Combine like terms: 28 + -28 = 0 0 + 58m = 92 + -28 58m = 92 + -28 Combine like terms: 92 + -28 = 64 58m = 64 Divide each side by '58'. m = 1.103448276 Simplifying m = 1.103448276
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