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Simplifying 5 + -8m + -7m = 4(m + -4) + 5(1 + -4m) Combine like terms: -8m + -7m = -15m 5 + -15m = 4(m + -4) + 5(1 + -4m) Reorder the terms: 5 + -15m = 4(-4 + m) + 5(1 + -4m) 5 + -15m = (-4 * 4 + m * 4) + 5(1 + -4m) 5 + -15m = (-16 + 4m) + 5(1 + -4m) 5 + -15m = -16 + 4m + (1 * 5 + -4m * 5) 5 + -15m = -16 + 4m + (5 + -20m) Reorder the terms: 5 + -15m = -16 + 5 + 4m + -20m Combine like terms: -16 + 5 = -11 5 + -15m = -11 + 4m + -20m Combine like terms: 4m + -20m = -16m 5 + -15m = -11 + -16m Solving 5 + -15m = -11 + -16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16m' to each side of the equation. 5 + -15m + 16m = -11 + -16m + 16m Combine like terms: -15m + 16m = 1m 5 + 1m = -11 + -16m + 16m Combine like terms: -16m + 16m = 0 5 + 1m = -11 + 0 5 + 1m = -11 Add '-5' to each side of the equation. 5 + -5 + 1m = -11 + -5 Combine like terms: 5 + -5 = 0 0 + 1m = -11 + -5 1m = -11 + -5 Combine like terms: -11 + -5 = -16 1m = -16 Divide each side by '1'. m = -16 Simplifying m = -16
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