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Simplifying -6(m + -5) + 7(7m + -3) = 9 Reorder the terms: -6(-5 + m) + 7(7m + -3) = 9 (-5 * -6 + m * -6) + 7(7m + -3) = 9 (30 + -6m) + 7(7m + -3) = 9 Reorder the terms: 30 + -6m + 7(-3 + 7m) = 9 30 + -6m + (-3 * 7 + 7m * 7) = 9 30 + -6m + (-21 + 49m) = 9 Reorder the terms: 30 + -21 + -6m + 49m = 9 Combine like terms: 30 + -21 = 9 9 + -6m + 49m = 9 Combine like terms: -6m + 49m = 43m 9 + 43m = 9 Add '-9' to each side of the equation. 9 + -9 + 43m = 9 + -9 Combine like terms: 9 + -9 = 0 0 + 43m = 9 + -9 43m = 9 + -9 Combine like terms: 9 + -9 = 0 43m = 0 Solving 43m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Divide each side by '43'. m = 0 Simplifying m = 0
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