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Simplifying 14 + 8m + -13 = 3(m + -4) + 3 Reorder the terms: 14 + -13 + 8m = 3(m + -4) + 3 Combine like terms: 14 + -13 = 1 1 + 8m = 3(m + -4) + 3 Reorder the terms: 1 + 8m = 3(-4 + m) + 3 1 + 8m = (-4 * 3 + m * 3) + 3 1 + 8m = (-12 + 3m) + 3 Reorder the terms: 1 + 8m = -12 + 3 + 3m Combine like terms: -12 + 3 = -9 1 + 8m = -9 + 3m Solving 1 + 8m = -9 + 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. 1 + 8m + -3m = -9 + 3m + -3m Combine like terms: 8m + -3m = 5m 1 + 5m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + 5m = -9 + 0 1 + 5m = -9 Add '-1' to each side of the equation. 1 + -1 + 5m = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 5m = -9 + -1 5m = -9 + -1 Combine like terms: -9 + -1 = -10 5m = -10 Divide each side by '5'. m = -2 Simplifying m = -2
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