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Simplifying 5m + 3 + -1(4m + -5) = 5(m + 5) + -3 Reorder the terms: 5m + 3 + -1(-5 + 4m) = 5(m + 5) + -3 5m + 3 + (-5 * -1 + 4m * -1) = 5(m + 5) + -3 5m + 3 + (5 + -4m) = 5(m + 5) + -3 Reorder the terms: 3 + 5 + 5m + -4m = 5(m + 5) + -3 Combine like terms: 3 + 5 = 8 8 + 5m + -4m = 5(m + 5) + -3 Combine like terms: 5m + -4m = 1m 8 + 1m = 5(m + 5) + -3 Reorder the terms: 8 + 1m = 5(5 + m) + -3 8 + 1m = (5 * 5 + m * 5) + -3 8 + 1m = (25 + 5m) + -3 Reorder the terms: 8 + 1m = 25 + -3 + 5m Combine like terms: 25 + -3 = 22 8 + 1m = 22 + 5m Solving 8 + 1m = 22 + 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. 8 + 1m + -5m = 22 + 5m + -5m Combine like terms: 1m + -5m = -4m 8 + -4m = 22 + 5m + -5m Combine like terms: 5m + -5m = 0 8 + -4m = 22 + 0 8 + -4m = 22 Add '-8' to each side of the equation. 8 + -8 + -4m = 22 + -8 Combine like terms: 8 + -8 = 0 0 + -4m = 22 + -8 -4m = 22 + -8 Combine like terms: 22 + -8 = 14 -4m = 14 Divide each side by '-4'. m = -3.5 Simplifying m = -3.5
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