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Simplifying 3(2m + -7) + -8 = -17 + 3m Reorder the terms: 3(-7 + 2m) + -8 = -17 + 3m (-7 * 3 + 2m * 3) + -8 = -17 + 3m (-21 + 6m) + -8 = -17 + 3m Reorder the terms: -21 + -8 + 6m = -17 + 3m Combine like terms: -21 + -8 = -29 -29 + 6m = -17 + 3m Solving -29 + 6m = -17 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -29 + 6m + -3m = -17 + 3m + -3m Combine like terms: 6m + -3m = 3m -29 + 3m = -17 + 3m + -3m Combine like terms: 3m + -3m = 0 -29 + 3m = -17 + 0 -29 + 3m = -17 Add '29' to each side of the equation. -29 + 29 + 3m = -17 + 29 Combine like terms: -29 + 29 = 0 0 + 3m = -17 + 29 3m = -17 + 29 Combine like terms: -17 + 29 = 12 3m = 12 Divide each side by '3'. m = 4 Simplifying m = 4
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