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Simplifying -3(5m + -6) + 8 = 4m + 7 Reorder the terms: -3(-6 + 5m) + 8 = 4m + 7 (-6 * -3 + 5m * -3) + 8 = 4m + 7 (18 + -15m) + 8 = 4m + 7 Reorder the terms: 18 + 8 + -15m = 4m + 7 Combine like terms: 18 + 8 = 26 26 + -15m = 4m + 7 Reorder the terms: 26 + -15m = 7 + 4m Solving 26 + -15m = 7 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 26 + -15m + -4m = 7 + 4m + -4m Combine like terms: -15m + -4m = -19m 26 + -19m = 7 + 4m + -4m Combine like terms: 4m + -4m = 0 26 + -19m = 7 + 0 26 + -19m = 7 Add '-26' to each side of the equation. 26 + -26 + -19m = 7 + -26 Combine like terms: 26 + -26 = 0 0 + -19m = 7 + -26 -19m = 7 + -26 Combine like terms: 7 + -26 = -19 -19m = -19 Divide each side by '-19'. m = 1 Simplifying m = 1
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