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Simplifying -4(2m + 9) + -6m = 14 + -9m Reorder the terms: -4(9 + 2m) + -6m = 14 + -9m (9 * -4 + 2m * -4) + -6m = 14 + -9m (-36 + -8m) + -6m = 14 + -9m Combine like terms: -8m + -6m = -14m -36 + -14m = 14 + -9m Solving -36 + -14m = 14 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. -36 + -14m + 9m = 14 + -9m + 9m Combine like terms: -14m + 9m = -5m -36 + -5m = 14 + -9m + 9m Combine like terms: -9m + 9m = 0 -36 + -5m = 14 + 0 -36 + -5m = 14 Add '36' to each side of the equation. -36 + 36 + -5m = 14 + 36 Combine like terms: -36 + 36 = 0 0 + -5m = 14 + 36 -5m = 14 + 36 Combine like terms: 14 + 36 = 50 -5m = 50 Divide each side by '-5'. m = -10 Simplifying m = -10
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