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Simplifying -2 + 10m + -10 = 8(3m + 4) + -2 Reorder the terms: -2 + -10 + 10m = 8(3m + 4) + -2 Combine like terms: -2 + -10 = -12 -12 + 10m = 8(3m + 4) + -2 Reorder the terms: -12 + 10m = 8(4 + 3m) + -2 -12 + 10m = (4 * 8 + 3m * 8) + -2 -12 + 10m = (32 + 24m) + -2 Reorder the terms: -12 + 10m = 32 + -2 + 24m Combine like terms: 32 + -2 = 30 -12 + 10m = 30 + 24m Solving -12 + 10m = 30 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -12 + 10m + -24m = 30 + 24m + -24m Combine like terms: 10m + -24m = -14m -12 + -14m = 30 + 24m + -24m Combine like terms: 24m + -24m = 0 -12 + -14m = 30 + 0 -12 + -14m = 30 Add '12' to each side of the equation. -12 + 12 + -14m = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -14m = 30 + 12 -14m = 30 + 12 Combine like terms: 30 + 12 = 42 -14m = 42 Divide each side by '-14'. m = -3 Simplifying m = -3
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