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Simplifying -12 + m + 10 = -2m + -10 + -1m Reorder the terms: -12 + 10 + m = -2m + -10 + -1m Combine like terms: -12 + 10 = -2 -2 + m = -2m + -10 + -1m Reorder the terms: -2 + m = -10 + -2m + -1m Combine like terms: -2m + -1m = -3m -2 + m = -10 + -3m Solving -2 + m = -10 + -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. -2 + m + 3m = -10 + -3m + 3m Combine like terms: m + 3m = 4m -2 + 4m = -10 + -3m + 3m Combine like terms: -3m + 3m = 0 -2 + 4m = -10 + 0 -2 + 4m = -10 Add '2' to each side of the equation. -2 + 2 + 4m = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 4m = -10 + 2 4m = -10 + 2 Combine like terms: -10 + 2 = -8 4m = -8 Divide each side by '4'. m = -2 Simplifying m = -2
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