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Simplifying 12 = 2(m + 6) + -10 Reorder the terms: 12 = 2(6 + m) + -10 12 = (6 * 2 + m * 2) + -10 12 = (12 + 2m) + -10 Reorder the terms: 12 = 12 + -10 + 2m Combine like terms: 12 + -10 = 2 12 = 2 + 2m Solving 12 = 2 + 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 + -2m = 2 + 2m + -2m Combine like terms: 2m + -2m = 0 12 + -2m = 2 + 0 12 + -2m = 2 Add '-12' to each side of the equation. 12 + -12 + -2m = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -2m = 2 + -12 -2m = 2 + -12 Combine like terms: 2 + -12 = -10 -2m = -10 Divide each side by '-2'. m = 5 Simplifying m = 5
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