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Simplifying -9m + -5m = 12(m + -4) + 8(11 + -3m) Combine like terms: -9m + -5m = -14m -14m = 12(m + -4) + 8(11 + -3m) Reorder the terms: -14m = 12(-4 + m) + 8(11 + -3m) -14m = (-4 * 12 + m * 12) + 8(11 + -3m) -14m = (-48 + 12m) + 8(11 + -3m) -14m = -48 + 12m + (11 * 8 + -3m * 8) -14m = -48 + 12m + (88 + -24m) Reorder the terms: -14m = -48 + 88 + 12m + -24m Combine like terms: -48 + 88 = 40 -14m = 40 + 12m + -24m Combine like terms: 12m + -24m = -12m -14m = 40 + -12m Solving -14m = 40 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -14m + 12m = 40 + -12m + 12m Combine like terms: -14m + 12m = -2m -2m = 40 + -12m + 12m Combine like terms: -12m + 12m = 0 -2m = 40 + 0 -2m = 40 Divide each side by '-2'. m = -20 Simplifying m = -20
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