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Simplifying -10m + -4 + -2m = (6m + 10) + 3(m + 8) Reorder the terms: -4 + -10m + -2m = (6m + 10) + 3(m + 8) Combine like terms: -10m + -2m = -12m -4 + -12m = (6m + 10) + 3(m + 8) Reorder the terms: -4 + -12m = (10 + 6m) + 3(m + 8) Remove parenthesis around (10 + 6m) -4 + -12m = 10 + 6m + 3(m + 8) Reorder the terms: -4 + -12m = 10 + 6m + 3(8 + m) -4 + -12m = 10 + 6m + (8 * 3 + m * 3) -4 + -12m = 10 + 6m + (24 + 3m) Reorder the terms: -4 + -12m = 10 + 24 + 6m + 3m Combine like terms: 10 + 24 = 34 -4 + -12m = 34 + 6m + 3m Combine like terms: 6m + 3m = 9m -4 + -12m = 34 + 9m Solving -4 + -12m = 34 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -4 + -12m + -9m = 34 + 9m + -9m Combine like terms: -12m + -9m = -21m -4 + -21m = 34 + 9m + -9m Combine like terms: 9m + -9m = 0 -4 + -21m = 34 + 0 -4 + -21m = 34 Add '4' to each side of the equation. -4 + 4 + -21m = 34 + 4 Combine like terms: -4 + 4 = 0 0 + -21m = 34 + 4 -21m = 34 + 4 Combine like terms: 34 + 4 = 38 -21m = 38 Divide each side by '-21'. m = -1.80952381 Simplifying m = -1.80952381
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