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Simplifying 76 = -6(4 + -1m) + -4(-6m + 5) 76 = (4 * -6 + -1m * -6) + -4(-6m + 5) 76 = (-24 + 6m) + -4(-6m + 5) Reorder the terms: 76 = -24 + 6m + -4(5 + -6m) 76 = -24 + 6m + (5 * -4 + -6m * -4) 76 = -24 + 6m + (-20 + 24m) Reorder the terms: 76 = -24 + -20 + 6m + 24m Combine like terms: -24 + -20 = -44 76 = -44 + 6m + 24m Combine like terms: 6m + 24m = 30m 76 = -44 + 30m Solving 76 = -44 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. 76 + -30m = -44 + 30m + -30m Combine like terms: 30m + -30m = 0 76 + -30m = -44 + 0 76 + -30m = -44 Add '-76' to each side of the equation. 76 + -76 + -30m = -44 + -76 Combine like terms: 76 + -76 = 0 0 + -30m = -44 + -76 -30m = -44 + -76 Combine like terms: -44 + -76 = -120 -30m = -120 Divide each side by '-30'. m = 4 Simplifying m = 4
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