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Simplifying -5(-4 + 7n) + 4m = 137 (-4 * -5 + 7n * -5) + 4m = 137 (20 + -35n) + 4m = 137 Reorder the terms: 20 + 4m + -35n = 137 Solving 20 + 4m + -35n = 137 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 4m + -20 + -35n = 137 + -20 Reorder the terms: 20 + -20 + 4m + -35n = 137 + -20 Combine like terms: 20 + -20 = 0 0 + 4m + -35n = 137 + -20 4m + -35n = 137 + -20 Combine like terms: 137 + -20 = 117 4m + -35n = 117 Add '35n' to each side of the equation. 4m + -35n + 35n = 117 + 35n Combine like terms: -35n + 35n = 0 4m + 0 = 117 + 35n 4m = 117 + 35n Divide each side by '4'. m = 29.25 + 8.75n Simplifying m = 29.25 + 8.75n
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