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Simplifying 2m + -5(1 + -4m) = -37 + 6m 2m + (1 * -5 + -4m * -5) = -37 + 6m 2m + (-5 + 20m) = -37 + 6m Reorder the terms: -5 + 2m + 20m = -37 + 6m Combine like terms: 2m + 20m = 22m -5 + 22m = -37 + 6m Solving -5 + 22m = -37 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -5 + 22m + -6m = -37 + 6m + -6m Combine like terms: 22m + -6m = 16m -5 + 16m = -37 + 6m + -6m Combine like terms: 6m + -6m = 0 -5 + 16m = -37 + 0 -5 + 16m = -37 Add '5' to each side of the equation. -5 + 5 + 16m = -37 + 5 Combine like terms: -5 + 5 = 0 0 + 16m = -37 + 5 16m = -37 + 5 Combine like terms: -37 + 5 = -32 16m = -32 Divide each side by '16'. m = -2 Simplifying m = -2
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