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Simplifying -2m + 5(1 + -4m) = -83 -2m + (1 * 5 + -4m * 5) = -83 -2m + (5 + -20m) = -83 Reorder the terms: 5 + -2m + -20m = -83 Combine like terms: -2m + -20m = -22m 5 + -22m = -83 Solving 5 + -22m = -83 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -22m = -83 + -5 Combine like terms: 5 + -5 = 0 0 + -22m = -83 + -5 -22m = -83 + -5 Combine like terms: -83 + -5 = -88 -22m = -88 Divide each side by '-22'. m = 4 Simplifying m = 4
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