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Simplifying 4(m + 2) + -7 = 3(m + -6) + 4 Reorder the terms: 4(2 + m) + -7 = 3(m + -6) + 4 (2 * 4 + m * 4) + -7 = 3(m + -6) + 4 (8 + 4m) + -7 = 3(m + -6) + 4 Reorder the terms: 8 + -7 + 4m = 3(m + -6) + 4 Combine like terms: 8 + -7 = 1 1 + 4m = 3(m + -6) + 4 Reorder the terms: 1 + 4m = 3(-6 + m) + 4 1 + 4m = (-6 * 3 + m * 3) + 4 1 + 4m = (-18 + 3m) + 4 Reorder the terms: 1 + 4m = -18 + 4 + 3m Combine like terms: -18 + 4 = -14 1 + 4m = -14 + 3m Solving 1 + 4m = -14 + 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 + 4m + -3m = -14 + 3m + -3m Combine like terms: 4m + -3m = 1m 1 + 1m = -14 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + 1m = -14 + 0 1 + 1m = -14 Add '-1' to each side of the equation. 1 + -1 + 1m = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 1m = -14 + -1 1m = -14 + -1 Combine like terms: -14 + -1 = -15 1m = -15 Divide each side by '1'. m = -15 Simplifying m = -15
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