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Simplifying -199 = 5(1 + -5m) + -4 -199 = (1 * 5 + -5m * 5) + -4 -199 = (5 + -25m) + -4 Reorder the terms: -199 = 5 + -4 + -25m Combine like terms: 5 + -4 = 1 -199 = 1 + -25m Solving -199 = 1 + -25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '25m' to each side of the equation. -199 + 25m = 1 + -25m + 25m Combine like terms: -25m + 25m = 0 -199 + 25m = 1 + 0 -199 + 25m = 1 Add '199' to each side of the equation. -199 + 199 + 25m = 1 + 199 Combine like terms: -199 + 199 = 0 0 + 25m = 1 + 199 25m = 1 + 199 Combine like terms: 1 + 199 = 200 25m = 200 Divide each side by '25'. m = 8 Simplifying m = 8
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