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Simplifying 9(m + -5) + 7(m + 4) = 0 Reorder the terms: 9(-5 + m) + 7(m + 4) = 0 (-5 * 9 + m * 9) + 7(m + 4) = 0 (-45 + 9m) + 7(m + 4) = 0 Reorder the terms: -45 + 9m + 7(4 + m) = 0 -45 + 9m + (4 * 7 + m * 7) = 0 -45 + 9m + (28 + 7m) = 0 Reorder the terms: -45 + 28 + 9m + 7m = 0 Combine like terms: -45 + 28 = -17 -17 + 9m + 7m = 0 Combine like terms: 9m + 7m = 16m -17 + 16m = 0 Solving -17 + 16m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 16m = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 16m = 0 + 17 16m = 0 + 17 Combine like terms: 0 + 17 = 17 16m = 17 Divide each side by '16'. m = 1.0625 Simplifying m = 1.0625
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