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Simplifying 6(m + 4) + -5(-9m + -4) = 50(m + 1) + -6 Reorder the terms: 6(4 + m) + -5(-9m + -4) = 50(m + 1) + -6 (4 * 6 + m * 6) + -5(-9m + -4) = 50(m + 1) + -6 (24 + 6m) + -5(-9m + -4) = 50(m + 1) + -6 Reorder the terms: 24 + 6m + -5(-4 + -9m) = 50(m + 1) + -6 24 + 6m + (-4 * -5 + -9m * -5) = 50(m + 1) + -6 24 + 6m + (20 + 45m) = 50(m + 1) + -6 Reorder the terms: 24 + 20 + 6m + 45m = 50(m + 1) + -6 Combine like terms: 24 + 20 = 44 44 + 6m + 45m = 50(m + 1) + -6 Combine like terms: 6m + 45m = 51m 44 + 51m = 50(m + 1) + -6 Reorder the terms: 44 + 51m = 50(1 + m) + -6 44 + 51m = (1 * 50 + m * 50) + -6 44 + 51m = (50 + 50m) + -6 Reorder the terms: 44 + 51m = 50 + -6 + 50m Combine like terms: 50 + -6 = 44 44 + 51m = 44 + 50m Add '-44' to each side of the equation. 44 + -44 + 51m = 44 + -44 + 50m Combine like terms: 44 + -44 = 0 0 + 51m = 44 + -44 + 50m 51m = 44 + -44 + 50m Combine like terms: 44 + -44 = 0 51m = 0 + 50m 51m = 50m Solving 51m = 50m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-50m' to each side of the equation. 51m + -50m = 50m + -50m Combine like terms: 51m + -50m = 1m 1m = 50m + -50m Combine like terms: 50m + -50m = 0 1m = 0 Divide each side by '1'. m = 0 Simplifying m = 0
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