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Simplifying 74 = 2(5m + 7) + 5(-6 + -8m) Reorder the terms: 74 = 2(7 + 5m) + 5(-6 + -8m) 74 = (7 * 2 + 5m * 2) + 5(-6 + -8m) 74 = (14 + 10m) + 5(-6 + -8m) 74 = 14 + 10m + (-6 * 5 + -8m * 5) 74 = 14 + 10m + (-30 + -40m) Reorder the terms: 74 = 14 + -30 + 10m + -40m Combine like terms: 14 + -30 = -16 74 = -16 + 10m + -40m Combine like terms: 10m + -40m = -30m 74 = -16 + -30m Solving 74 = -16 + -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. 74 + 30m = -16 + -30m + 30m Combine like terms: -30m + 30m = 0 74 + 30m = -16 + 0 74 + 30m = -16 Add '-74' to each side of the equation. 74 + -74 + 30m = -16 + -74 Combine like terms: 74 + -74 = 0 0 + 30m = -16 + -74 30m = -16 + -74 Combine like terms: -16 + -74 = -90 30m = -90 Divide each side by '30'. m = -3 Simplifying m = -3
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