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Simplifying 5(m + 4) = 4(m + -3) + -7 Reorder the terms: 5(4 + m) = 4(m + -3) + -7 (4 * 5 + m * 5) = 4(m + -3) + -7 (20 + 5m) = 4(m + -3) + -7 Reorder the terms: 20 + 5m = 4(-3 + m) + -7 20 + 5m = (-3 * 4 + m * 4) + -7 20 + 5m = (-12 + 4m) + -7 Reorder the terms: 20 + 5m = -12 + -7 + 4m Combine like terms: -12 + -7 = -19 20 + 5m = -19 + 4m Solving 20 + 5m = -19 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 20 + 5m + -4m = -19 + 4m + -4m Combine like terms: 5m + -4m = 1m 20 + 1m = -19 + 4m + -4m Combine like terms: 4m + -4m = 0 20 + 1m = -19 + 0 20 + 1m = -19 Add '-20' to each side of the equation. 20 + -20 + 1m = -19 + -20 Combine like terms: 20 + -20 = 0 0 + 1m = -19 + -20 1m = -19 + -20 Combine like terms: -19 + -20 = -39 1m = -39 Divide each side by '1'. m = -39 Simplifying m = -39
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