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Simplifying 2(m + 6) = 4(m + -1) Reorder the terms: 2(6 + m) = 4(m + -1) (6 * 2 + m * 2) = 4(m + -1) (12 + 2m) = 4(m + -1) Reorder the terms: 12 + 2m = 4(-1 + m) 12 + 2m = (-1 * 4 + m * 4) 12 + 2m = (-4 + 4m) Solving 12 + 2m = -4 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 12 + 2m + -4m = -4 + 4m + -4m Combine like terms: 2m + -4m = -2m 12 + -2m = -4 + 4m + -4m Combine like terms: 4m + -4m = 0 12 + -2m = -4 + 0 12 + -2m = -4 Add '-12' to each side of the equation. 12 + -12 + -2m = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -2m = -4 + -12 -2m = -4 + -12 Combine like terms: -4 + -12 = -16 -2m = -16 Divide each side by '-2'. m = 8 Simplifying m = 8
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