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Simplifying 5(4m + 5) = 1 + -4m Reorder the terms: 5(5 + 4m) = 1 + -4m (5 * 5 + 4m * 5) = 1 + -4m (25 + 20m) = 1 + -4m Solving 25 + 20m = 1 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 25 + 20m + 4m = 1 + -4m + 4m Combine like terms: 20m + 4m = 24m 25 + 24m = 1 + -4m + 4m Combine like terms: -4m + 4m = 0 25 + 24m = 1 + 0 25 + 24m = 1 Add '-25' to each side of the equation. 25 + -25 + 24m = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 24m = 1 + -25 24m = 1 + -25 Combine like terms: 1 + -25 = -24 24m = -24 Divide each side by '24'. m = -1 Simplifying m = -1
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