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Simplifying 9(m + 3) = 3(m + -7) Reorder the terms: 9(3 + m) = 3(m + -7) (3 * 9 + m * 9) = 3(m + -7) (27 + 9m) = 3(m + -7) Reorder the terms: 27 + 9m = 3(-7 + m) 27 + 9m = (-7 * 3 + m * 3) 27 + 9m = (-21 + 3m) Solving 27 + 9m = -21 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 27 + 9m + -3m = -21 + 3m + -3m Combine like terms: 9m + -3m = 6m 27 + 6m = -21 + 3m + -3m Combine like terms: 3m + -3m = 0 27 + 6m = -21 + 0 27 + 6m = -21 Add '-27' to each side of the equation. 27 + -27 + 6m = -21 + -27 Combine like terms: 27 + -27 = 0 0 + 6m = -21 + -27 6m = -21 + -27 Combine like terms: -21 + -27 = -48 6m = -48 Divide each side by '6'. m = -8 Simplifying m = -8
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