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Simplifying 6 + 3(2m + 2) = 20 + 7m Reorder the terms: 6 + 3(2 + 2m) = 20 + 7m 6 + (2 * 3 + 2m * 3) = 20 + 7m 6 + (6 + 6m) = 20 + 7m Combine like terms: 6 + 6 = 12 12 + 6m = 20 + 7m Solving 12 + 6m = 20 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 12 + 6m + -7m = 20 + 7m + -7m Combine like terms: 6m + -7m = -1m 12 + -1m = 20 + 7m + -7m Combine like terms: 7m + -7m = 0 12 + -1m = 20 + 0 12 + -1m = 20 Add '-12' to each side of the equation. 12 + -12 + -1m = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = 20 + -12 -1m = 20 + -12 Combine like terms: 20 + -12 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8
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