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Simplifying 6(8m + -5) = 13 + 5m Reorder the terms: 6(-5 + 8m) = 13 + 5m (-5 * 6 + 8m * 6) = 13 + 5m (-30 + 48m) = 13 + 5m Solving -30 + 48m = 13 + 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. -30 + 48m + -5m = 13 + 5m + -5m Combine like terms: 48m + -5m = 43m -30 + 43m = 13 + 5m + -5m Combine like terms: 5m + -5m = 0 -30 + 43m = 13 + 0 -30 + 43m = 13 Add '30' to each side of the equation. -30 + 30 + 43m = 13 + 30 Combine like terms: -30 + 30 = 0 0 + 43m = 13 + 30 43m = 13 + 30 Combine like terms: 13 + 30 = 43 43m = 43 Divide each side by '43'. m = 1 Simplifying m = 1
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