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Simplifying 2(m + -4) + -5 = 3(m + -9) Reorder the terms: 2(-4 + m) + -5 = 3(m + -9) (-4 * 2 + m * 2) + -5 = 3(m + -9) (-8 + 2m) + -5 = 3(m + -9) Reorder the terms: -8 + -5 + 2m = 3(m + -9) Combine like terms: -8 + -5 = -13 -13 + 2m = 3(m + -9) Reorder the terms: -13 + 2m = 3(-9 + m) -13 + 2m = (-9 * 3 + m * 3) -13 + 2m = (-27 + 3m) Solving -13 + 2m = -27 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -13 + 2m + -3m = -27 + 3m + -3m Combine like terms: 2m + -3m = -1m -13 + -1m = -27 + 3m + -3m Combine like terms: 3m + -3m = 0 -13 + -1m = -27 + 0 -13 + -1m = -27 Add '13' to each side of the equation. -13 + 13 + -1m = -27 + 13 Combine like terms: -13 + 13 = 0 0 + -1m = -27 + 13 -1m = -27 + 13 Combine like terms: -27 + 13 = -14 -1m = -14 Divide each side by '-1'. m = 14 Simplifying m = 14
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