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Simplifying -3(12 + -1m) = 1(m + -7) (12 * -3 + -1m * -3) = 1(m + -7) (-36 + 3m) = 1(m + -7) Reorder the terms: -36 + 3m = 1(-7 + m) -36 + 3m = (-7 * 1 + m * 1) -36 + 3m = (-7 + 1m) Solving -36 + 3m = -7 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -36 + 3m + -1m = -7 + 1m + -1m Combine like terms: 3m + -1m = 2m -36 + 2m = -7 + 1m + -1m Combine like terms: 1m + -1m = 0 -36 + 2m = -7 + 0 -36 + 2m = -7 Add '36' to each side of the equation. -36 + 36 + 2m = -7 + 36 Combine like terms: -36 + 36 = 0 0 + 2m = -7 + 36 2m = -7 + 36 Combine like terms: -7 + 36 = 29 2m = 29 Divide each side by '2'. m = 14.5 Simplifying m = 14.5
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