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Simplifying -4(-5m + -3) = 38 + 7m Reorder the terms: -4(-3 + -5m) = 38 + 7m (-3 * -4 + -5m * -4) = 38 + 7m (12 + 20m) = 38 + 7m Solving 12 + 20m = 38 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 12 + 20m + -7m = 38 + 7m + -7m Combine like terms: 20m + -7m = 13m 12 + 13m = 38 + 7m + -7m Combine like terms: 7m + -7m = 0 12 + 13m = 38 + 0 12 + 13m = 38 Add '-12' to each side of the equation. 12 + -12 + 13m = 38 + -12 Combine like terms: 12 + -12 = 0 0 + 13m = 38 + -12 13m = 38 + -12 Combine like terms: 38 + -12 = 26 13m = 26 Divide each side by '13'. m = 2 Simplifying m = 2
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