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Simplifying 3m + 26 = 2m + -7(8 + -6m) Reorder the terms: 26 + 3m = 2m + -7(8 + -6m) 26 + 3m = 2m + (8 * -7 + -6m * -7) 26 + 3m = 2m + (-56 + 42m) Reorder the terms: 26 + 3m = -56 + 2m + 42m Combine like terms: 2m + 42m = 44m 26 + 3m = -56 + 44m Solving 26 + 3m = -56 + 44m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-44m' to each side of the equation. 26 + 3m + -44m = -56 + 44m + -44m Combine like terms: 3m + -44m = -41m 26 + -41m = -56 + 44m + -44m Combine like terms: 44m + -44m = 0 26 + -41m = -56 + 0 26 + -41m = -56 Add '-26' to each side of the equation. 26 + -26 + -41m = -56 + -26 Combine like terms: 26 + -26 = 0 0 + -41m = -56 + -26 -41m = -56 + -26 Combine like terms: -56 + -26 = -82 -41m = -82 Divide each side by '-41'. m = 2 Simplifying m = 2
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