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Simplifying -6(1 + -2m) = -4m + -38 (1 * -6 + -2m * -6) = -4m + -38 (-6 + 12m) = -4m + -38 Reorder the terms: -6 + 12m = -38 + -4m Solving -6 + 12m = -38 + -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. -6 + 12m + 4m = -38 + -4m + 4m Combine like terms: 12m + 4m = 16m -6 + 16m = -38 + -4m + 4m Combine like terms: -4m + 4m = 0 -6 + 16m = -38 + 0 -6 + 16m = -38 Add '6' to each side of the equation. -6 + 6 + 16m = -38 + 6 Combine like terms: -6 + 6 = 0 0 + 16m = -38 + 6 16m = -38 + 6 Combine like terms: -38 + 6 = -32 16m = -32 Divide each side by '16'. m = -2 Simplifying m = -2
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