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Simplifying -3(12 + -1m) = -1(m + -8) (12 * -3 + -1m * -3) = -1(m + -8) (-36 + 3m) = -1(m + -8) Reorder the terms: -36 + 3m = -1(-8 + m) -36 + 3m = (-8 * -1 + m * -1) -36 + 3m = (8 + -1m) Solving -36 + 3m = 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. -36 + 3m + m = 8 + -1m + m Combine like terms: 3m + m = 4m -36 + 4m = 8 + -1m + m Combine like terms: -1m + m = 0 -36 + 4m = 8 + 0 -36 + 4m = 8 Add '36' to each side of the equation. -36 + 36 + 4m = 8 + 36 Combine like terms: -36 + 36 = 0 0 + 4m = 8 + 36 4m = 8 + 36 Combine like terms: 8 + 36 = 44 4m = 44 Divide each side by '4'. m = 11 Simplifying m = 11
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