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Simplifying 3(1 + 7m) + 2m = -8m + -28 (1 * 3 + 7m * 3) + 2m = -8m + -28 (3 + 21m) + 2m = -8m + -28 Combine like terms: 21m + 2m = 23m 3 + 23m = -8m + -28 Reorder the terms: 3 + 23m = -28 + -8m Solving 3 + 23m = -28 + -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. 3 + 23m + 8m = -28 + -8m + 8m Combine like terms: 23m + 8m = 31m 3 + 31m = -28 + -8m + 8m Combine like terms: -8m + 8m = 0 3 + 31m = -28 + 0 3 + 31m = -28 Add '-3' to each side of the equation. 3 + -3 + 31m = -28 + -3 Combine like terms: 3 + -3 = 0 0 + 31m = -28 + -3 31m = -28 + -3 Combine like terms: -28 + -3 = -31 31m = -31 Divide each side by '31'. m = -1 Simplifying m = -1
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