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Simplifying 5(m + -4) + 6m = 5(m + 3) + -7 Reorder the terms: 5(-4 + m) + 6m = 5(m + 3) + -7 (-4 * 5 + m * 5) + 6m = 5(m + 3) + -7 (-20 + 5m) + 6m = 5(m + 3) + -7 Combine like terms: 5m + 6m = 11m -20 + 11m = 5(m + 3) + -7 Reorder the terms: -20 + 11m = 5(3 + m) + -7 -20 + 11m = (3 * 5 + m * 5) + -7 -20 + 11m = (15 + 5m) + -7 Reorder the terms: -20 + 11m = 15 + -7 + 5m Combine like terms: 15 + -7 = 8 -20 + 11m = 8 + 5m Solving -20 + 11m = 8 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -20 + 11m + -5m = 8 + 5m + -5m Combine like terms: 11m + -5m = 6m -20 + 6m = 8 + 5m + -5m Combine like terms: 5m + -5m = 0 -20 + 6m = 8 + 0 -20 + 6m = 8 Add '20' to each side of the equation. -20 + 20 + 6m = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 6m = 8 + 20 6m = 8 + 20 Combine like terms: 8 + 20 = 28 6m = 28 Divide each side by '6'. m = 4.666666667 Simplifying m = 4.666666667
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