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Simplifying -5(1 + -4m) = 6m + 37 (1 * -5 + -4m * -5) = 6m + 37 (-5 + 20m) = 6m + 37 Reorder the terms: -5 + 20m = 37 + 6m Solving -5 + 20m = 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 + 20m + -6m = 37 + 6m + -6m Combine like terms: 20m + -6m = 14m -5 + 14m = 37 + 6m + -6m Combine like terms: 6m + -6m = 0 -5 + 14m = 37 + 0 -5 + 14m = 37 Add '5' to each side of the equation. -5 + 5 + 14m = 37 + 5 Combine like terms: -5 + 5 = 0 0 + 14m = 37 + 5 14m = 37 + 5 Combine like terms: 37 + 5 = 42 14m = 42 Divide each side by '14'. m = 3 Simplifying m = 3
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