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Simplifying -82 = 2(7m + 3) + -3m Reorder the terms: -82 = 2(3 + 7m) + -3m -82 = (3 * 2 + 7m * 2) + -3m -82 = (6 + 14m) + -3m Combine like terms: 14m + -3m = 11m -82 = 6 + 11m Solving -82 = 6 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. -82 + -11m = 6 + 11m + -11m Combine like terms: 11m + -11m = 0 -82 + -11m = 6 + 0 -82 + -11m = 6 Add '82' to each side of the equation. -82 + 82 + -11m = 6 + 82 Combine like terms: -82 + 82 = 0 0 + -11m = 6 + 82 -11m = 6 + 82 Combine like terms: 6 + 82 = 88 -11m = 88 Divide each side by '-11'. m = -8 Simplifying m = -8
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