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Simplifying -343 = 6m + 7(1 + -8m) -343 = 6m + (1 * 7 + -8m * 7) -343 = 6m + (7 + -56m) Reorder the terms: -343 = 7 + 6m + -56m Combine like terms: 6m + -56m = -50m -343 = 7 + -50m Solving -343 = 7 + -50m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '50m' to each side of the equation. -343 + 50m = 7 + -50m + 50m Combine like terms: -50m + 50m = 0 -343 + 50m = 7 + 0 -343 + 50m = 7 Add '343' to each side of the equation. -343 + 343 + 50m = 7 + 343 Combine like terms: -343 + 343 = 0 0 + 50m = 7 + 343 50m = 7 + 343 Combine like terms: 7 + 343 = 350 50m = 350 Divide each side by '50'. m = 7 Simplifying m = 7
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