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Simplifying -3(m + -6) + 7(7m + 8) = 28 Reorder the terms: -3(-6 + m) + 7(7m + 8) = 28 (-6 * -3 + m * -3) + 7(7m + 8) = 28 (18 + -3m) + 7(7m + 8) = 28 Reorder the terms: 18 + -3m + 7(8 + 7m) = 28 18 + -3m + (8 * 7 + 7m * 7) = 28 18 + -3m + (56 + 49m) = 28 Reorder the terms: 18 + 56 + -3m + 49m = 28 Combine like terms: 18 + 56 = 74 74 + -3m + 49m = 28 Combine like terms: -3m + 49m = 46m 74 + 46m = 28 Solving 74 + 46m = 28 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + 46m = 28 + -74 Combine like terms: 74 + -74 = 0 0 + 46m = 28 + -74 46m = 28 + -74 Combine like terms: 28 + -74 = -46 46m = -46 Divide each side by '46'. m = -1 Simplifying m = -1
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