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Simplifying 3 + -1(12 + -1m) = -1(m + -8) 3 + (12 * -1 + -1m * -1) = -1(m + -8) 3 + (-12 + 1m) = -1(m + -8) Combine like terms: 3 + -12 = -9 -9 + 1m = -1(m + -8) Reorder the terms: -9 + 1m = -1(-8 + m) -9 + 1m = (-8 * -1 + m * -1) -9 + 1m = (8 + -1m) Solving -9 + 1m = 8 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -9 + 1m + m = 8 + -1m + m Combine like terms: 1m + m = 2m -9 + 2m = 8 + -1m + m Combine like terms: -1m + m = 0 -9 + 2m = 8 + 0 -9 + 2m = 8 Add '9' to each side of the equation. -9 + 9 + 2m = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 2m = 8 + 9 2m = 8 + 9 Combine like terms: 8 + 9 = 17 2m = 17 Divide each side by '2'. m = 8.5 Simplifying m = 8.5
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