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Simplifying -17 + 3m = 7(6m + -8) Reorder the terms: -17 + 3m = 7(-8 + 6m) -17 + 3m = (-8 * 7 + 6m * 7) -17 + 3m = (-56 + 42m) Solving -17 + 3m = -56 + 42m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-42m' to each side of the equation. -17 + 3m + -42m = -56 + 42m + -42m Combine like terms: 3m + -42m = -39m -17 + -39m = -56 + 42m + -42m Combine like terms: 42m + -42m = 0 -17 + -39m = -56 + 0 -17 + -39m = -56 Add '17' to each side of the equation. -17 + 17 + -39m = -56 + 17 Combine like terms: -17 + 17 = 0 0 + -39m = -56 + 17 -39m = -56 + 17 Combine like terms: -56 + 17 = -39 -39m = -39 Divide each side by '-39'. m = 1 Simplifying m = 1
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