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Simplifying m + 12 = 2m + -10 Reorder the terms: 12 + m = 2m + -10 Reorder the terms: 12 + m = -10 + 2m Solving 12 + m = -10 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 12 + m + -2m = -10 + 2m + -2m Combine like terms: m + -2m = -1m 12 + -1m = -10 + 2m + -2m Combine like terms: 2m + -2m = 0 12 + -1m = -10 + 0 12 + -1m = -10 Add '-12' to each side of the equation. 12 + -12 + -1m = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = -10 + -12 -1m = -10 + -12 Combine like terms: -10 + -12 = -22 -1m = -22 Divide each side by '-1'. m = 22 Simplifying m = 22
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