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Simplifying 12 + -1(2m + 6) = 2 + 2m + -12 Reorder the terms: 12 + -1(6 + 2m) = 2 + 2m + -12 12 + (6 * -1 + 2m * -1) = 2 + 2m + -12 12 + (-6 + -2m) = 2 + 2m + -12 Combine like terms: 12 + -6 = 6 6 + -2m = 2 + 2m + -12 Reorder the terms: 6 + -2m = 2 + -12 + 2m Combine like terms: 2 + -12 = -10 6 + -2m = -10 + 2m Solving 6 + -2m = -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. 6 + -2m + -2m = -10 + 2m + -2m Combine like terms: -2m + -2m = -4m 6 + -4m = -10 + 2m + -2m Combine like terms: 2m + -2m = 0 6 + -4m = -10 + 0 6 + -4m = -10 Add '-6' to each side of the equation. 6 + -6 + -4m = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -4m = -10 + -6 -4m = -10 + -6 Combine like terms: -10 + -6 = -16 -4m = -16 Divide each side by '-4'. m = 4 Simplifying m = 4
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