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Simplifying 4(2m + 3) = -3(m + -1) + 31 Reorder the terms: 4(3 + 2m) = -3(m + -1) + 31 (3 * 4 + 2m * 4) = -3(m + -1) + 31 (12 + 8m) = -3(m + -1) + 31 Reorder the terms: 12 + 8m = -3(-1 + m) + 31 12 + 8m = (-1 * -3 + m * -3) + 31 12 + 8m = (3 + -3m) + 31 Reorder the terms: 12 + 8m = 3 + 31 + -3m Combine like terms: 3 + 31 = 34 12 + 8m = 34 + -3m Solving 12 + 8m = 34 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 12 + 8m + 3m = 34 + -3m + 3m Combine like terms: 8m + 3m = 11m 12 + 11m = 34 + -3m + 3m Combine like terms: -3m + 3m = 0 12 + 11m = 34 + 0 12 + 11m = 34 Add '-12' to each side of the equation. 12 + -12 + 11m = 34 + -12 Combine like terms: 12 + -12 = 0 0 + 11m = 34 + -12 11m = 34 + -12 Combine like terms: 34 + -12 = 22 11m = 22 Divide each side by '11'. m = 2 Simplifying m = 2
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