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Simplifying 3m + 5(m + -4) = 20 + 6m Reorder the terms: 3m + 5(-4 + m) = 20 + 6m 3m + (-4 * 5 + m * 5) = 20 + 6m 3m + (-20 + 5m) = 20 + 6m Reorder the terms: -20 + 3m + 5m = 20 + 6m Combine like terms: 3m + 5m = 8m -20 + 8m = 20 + 6m Solving -20 + 8m = 20 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -20 + 8m + -6m = 20 + 6m + -6m Combine like terms: 8m + -6m = 2m -20 + 2m = 20 + 6m + -6m Combine like terms: 6m + -6m = 0 -20 + 2m = 20 + 0 -20 + 2m = 20 Add '20' to each side of the equation. -20 + 20 + 2m = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 2m = 20 + 20 2m = 20 + 20 Combine like terms: 20 + 20 = 40 2m = 40 Divide each side by '2'. m = 20 Simplifying m = 20
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