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Simplifying 10(2m + 10) + 8 = -6 + -2(5m + -7) Reorder the terms: 10(10 + 2m) + 8 = -6 + -2(5m + -7) (10 * 10 + 2m * 10) + 8 = -6 + -2(5m + -7) (100 + 20m) + 8 = -6 + -2(5m + -7) Reorder the terms: 100 + 8 + 20m = -6 + -2(5m + -7) Combine like terms: 100 + 8 = 108 108 + 20m = -6 + -2(5m + -7) Reorder the terms: 108 + 20m = -6 + -2(-7 + 5m) 108 + 20m = -6 + (-7 * -2 + 5m * -2) 108 + 20m = -6 + (14 + -10m) Combine like terms: -6 + 14 = 8 108 + 20m = 8 + -10m Solving 108 + 20m = 8 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 108 + 20m + 10m = 8 + -10m + 10m Combine like terms: 20m + 10m = 30m 108 + 30m = 8 + -10m + 10m Combine like terms: -10m + 10m = 0 108 + 30m = 8 + 0 108 + 30m = 8 Add '-108' to each side of the equation. 108 + -108 + 30m = 8 + -108 Combine like terms: 108 + -108 = 0 0 + 30m = 8 + -108 30m = 8 + -108 Combine like terms: 8 + -108 = -100 30m = -100 Divide each side by '30'. m = -3.333333333 Simplifying m = -3.333333333
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