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Simplifying 8m + -1(5m + -7) = 6 + 4m + -15 Reorder the terms: 8m + -1(-7 + 5m) = 6 + 4m + -15 8m + (-7 * -1 + 5m * -1) = 6 + 4m + -15 8m + (7 + -5m) = 6 + 4m + -15 Reorder the terms: 7 + 8m + -5m = 6 + 4m + -15 Combine like terms: 8m + -5m = 3m 7 + 3m = 6 + 4m + -15 Reorder the terms: 7 + 3m = 6 + -15 + 4m Combine like terms: 6 + -15 = -9 7 + 3m = -9 + 4m Solving 7 + 3m = -9 + 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. 7 + 3m + -4m = -9 + 4m + -4m Combine like terms: 3m + -4m = -1m 7 + -1m = -9 + 4m + -4m Combine like terms: 4m + -4m = 0 7 + -1m = -9 + 0 7 + -1m = -9 Add '-7' to each side of the equation. 7 + -7 + -1m = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = -9 + -7 -1m = -9 + -7 Combine like terms: -9 + -7 = -16 -1m = -16 Divide each side by '-1'. m = 16 Simplifying m = 16
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