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Simplifying -8 + 4m = 1 + -1(-2m + -5) Reorder the terms: -8 + 4m = 1 + -1(-5 + -2m) -8 + 4m = 1 + (-5 * -1 + -2m * -1) -8 + 4m = 1 + (5 + 2m) Combine like terms: 1 + 5 = 6 -8 + 4m = 6 + 2m Solving -8 + 4m = 6 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -8 + 4m + -2m = 6 + 2m + -2m Combine like terms: 4m + -2m = 2m -8 + 2m = 6 + 2m + -2m Combine like terms: 2m + -2m = 0 -8 + 2m = 6 + 0 -8 + 2m = 6 Add '8' to each side of the equation. -8 + 8 + 2m = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2m = 6 + 8 2m = 6 + 8 Combine like terms: 6 + 8 = 14 2m = 14 Divide each side by '2'. m = 7 Simplifying m = 7
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