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Simplifying -9m + 10(2m + -1) = -5m + 3(m + -12) Reorder the terms: -9m + 10(-1 + 2m) = -5m + 3(m + -12) -9m + (-1 * 10 + 2m * 10) = -5m + 3(m + -12) -9m + (-10 + 20m) = -5m + 3(m + -12) Reorder the terms: -10 + -9m + 20m = -5m + 3(m + -12) Combine like terms: -9m + 20m = 11m -10 + 11m = -5m + 3(m + -12) Reorder the terms: -10 + 11m = -5m + 3(-12 + m) -10 + 11m = -5m + (-12 * 3 + m * 3) -10 + 11m = -5m + (-36 + 3m) Reorder the terms: -10 + 11m = -36 + -5m + 3m Combine like terms: -5m + 3m = -2m -10 + 11m = -36 + -2m Solving -10 + 11m = -36 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -10 + 11m + 2m = -36 + -2m + 2m Combine like terms: 11m + 2m = 13m -10 + 13m = -36 + -2m + 2m Combine like terms: -2m + 2m = 0 -10 + 13m = -36 + 0 -10 + 13m = -36 Add '10' to each side of the equation. -10 + 10 + 13m = -36 + 10 Combine like terms: -10 + 10 = 0 0 + 13m = -36 + 10 13m = -36 + 10 Combine like terms: -36 + 10 = -26 13m = -26 Divide each side by '13'. m = -2 Simplifying m = -2
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