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Simplifying 1 + -1(4 + -8m) = 5 + 7(m + 1) 1 + (4 * -1 + -8m * -1) = 5 + 7(m + 1) 1 + (-4 + 8m) = 5 + 7(m + 1) Combine like terms: 1 + -4 = -3 -3 + 8m = 5 + 7(m + 1) Reorder the terms: -3 + 8m = 5 + 7(1 + m) -3 + 8m = 5 + (1 * 7 + m * 7) -3 + 8m = 5 + (7 + 7m) Combine like terms: 5 + 7 = 12 -3 + 8m = 12 + 7m Solving -3 + 8m = 12 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -3 + 8m + -7m = 12 + 7m + -7m Combine like terms: 8m + -7m = 1m -3 + 1m = 12 + 7m + -7m Combine like terms: 7m + -7m = 0 -3 + 1m = 12 + 0 -3 + 1m = 12 Add '3' to each side of the equation. -3 + 3 + 1m = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 1m = 12 + 3 1m = 12 + 3 Combine like terms: 12 + 3 = 15 1m = 15 Divide each side by '1'. m = 15 Simplifying m = 15
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