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Simplifying 10(m + -12) + 12m = -12(10 + -3m) Reorder the terms: 10(-12 + m) + 12m = -12(10 + -3m) (-12 * 10 + m * 10) + 12m = -12(10 + -3m) (-120 + 10m) + 12m = -12(10 + -3m) Combine like terms: 10m + 12m = 22m -120 + 22m = -12(10 + -3m) -120 + 22m = (10 * -12 + -3m * -12) -120 + 22m = (-120 + 36m) Add '120' to each side of the equation. -120 + 120 + 22m = -120 + 120 + 36m Combine like terms: -120 + 120 = 0 0 + 22m = -120 + 120 + 36m 22m = -120 + 120 + 36m Combine like terms: -120 + 120 = 0 22m = 0 + 36m 22m = 36m Solving 22m = 36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-36m' to each side of the equation. 22m + -36m = 36m + -36m Combine like terms: 22m + -36m = -14m -14m = 36m + -36m Combine like terms: 36m + -36m = 0 -14m = 0 Divide each side by '-14'. m = 0 Simplifying m = 0
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