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Simplifying 7(3m + 2) + -2 = 4(2m + 3) Reorder the terms: 7(2 + 3m) + -2 = 4(2m + 3) (2 * 7 + 3m * 7) + -2 = 4(2m + 3) (14 + 21m) + -2 = 4(2m + 3) Reorder the terms: 14 + -2 + 21m = 4(2m + 3) Combine like terms: 14 + -2 = 12 12 + 21m = 4(2m + 3) Reorder the terms: 12 + 21m = 4(3 + 2m) 12 + 21m = (3 * 4 + 2m * 4) 12 + 21m = (12 + 8m) Add '-12' to each side of the equation. 12 + -12 + 21m = 12 + -12 + 8m Combine like terms: 12 + -12 = 0 0 + 21m = 12 + -12 + 8m 21m = 12 + -12 + 8m Combine like terms: 12 + -12 = 0 21m = 0 + 8m 21m = 8m Solving 21m = 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 21m + -8m = 8m + -8m Combine like terms: 21m + -8m = 13m 13m = 8m + -8m Combine like terms: 8m + -8m = 0 13m = 0 Divide each side by '13'. m = 0 Simplifying m = 0
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