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Simplifying -82 = 3(3m + -7) + -7 Reorder the terms: -82 = 3(-7 + 3m) + -7 -82 = (-7 * 3 + 3m * 3) + -7 -82 = (-21 + 9m) + -7 Reorder the terms: -82 = -21 + -7 + 9m Combine like terms: -21 + -7 = -28 -82 = -28 + 9m Solving -82 = -28 + 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. -82 + -9m = -28 + 9m + -9m Combine like terms: 9m + -9m = 0 -82 + -9m = -28 + 0 -82 + -9m = -28 Add '82' to each side of the equation. -82 + 82 + -9m = -28 + 82 Combine like terms: -82 + 82 = 0 0 + -9m = -28 + 82 -9m = -28 + 82 Combine like terms: -28 + 82 = 54 -9m = 54 Divide each side by '-9'. m = -6 Simplifying m = -6
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