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Simplifying 4(m + 7) + -2(5m + 1) = -7(m + 1) + 4 Reorder the terms: 4(7 + m) + -2(5m + 1) = -7(m + 1) + 4 (7 * 4 + m * 4) + -2(5m + 1) = -7(m + 1) + 4 (28 + 4m) + -2(5m + 1) = -7(m + 1) + 4 Reorder the terms: 28 + 4m + -2(1 + 5m) = -7(m + 1) + 4 28 + 4m + (1 * -2 + 5m * -2) = -7(m + 1) + 4 28 + 4m + (-2 + -10m) = -7(m + 1) + 4 Reorder the terms: 28 + -2 + 4m + -10m = -7(m + 1) + 4 Combine like terms: 28 + -2 = 26 26 + 4m + -10m = -7(m + 1) + 4 Combine like terms: 4m + -10m = -6m 26 + -6m = -7(m + 1) + 4 Reorder the terms: 26 + -6m = -7(1 + m) + 4 26 + -6m = (1 * -7 + m * -7) + 4 26 + -6m = (-7 + -7m) + 4 Reorder the terms: 26 + -6m = -7 + 4 + -7m Combine like terms: -7 + 4 = -3 26 + -6m = -3 + -7m Solving 26 + -6m = -3 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 26 + -6m + 7m = -3 + -7m + 7m Combine like terms: -6m + 7m = 1m 26 + 1m = -3 + -7m + 7m Combine like terms: -7m + 7m = 0 26 + 1m = -3 + 0 26 + 1m = -3 Add '-26' to each side of the equation. 26 + -26 + 1m = -3 + -26 Combine like terms: 26 + -26 = 0 0 + 1m = -3 + -26 1m = -3 + -26 Combine like terms: -3 + -26 = -29 1m = -29 Divide each side by '1'. m = -29 Simplifying m = -29
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