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Simplifying 7(m + -9) + 6(4m + -9) = 30(m + -4) + -5 Reorder the terms: 7(-9 + m) + 6(4m + -9) = 30(m + -4) + -5 (-9 * 7 + m * 7) + 6(4m + -9) = 30(m + -4) + -5 (-63 + 7m) + 6(4m + -9) = 30(m + -4) + -5 Reorder the terms: -63 + 7m + 6(-9 + 4m) = 30(m + -4) + -5 -63 + 7m + (-9 * 6 + 4m * 6) = 30(m + -4) + -5 -63 + 7m + (-54 + 24m) = 30(m + -4) + -5 Reorder the terms: -63 + -54 + 7m + 24m = 30(m + -4) + -5 Combine like terms: -63 + -54 = -117 -117 + 7m + 24m = 30(m + -4) + -5 Combine like terms: 7m + 24m = 31m -117 + 31m = 30(m + -4) + -5 Reorder the terms: -117 + 31m = 30(-4 + m) + -5 -117 + 31m = (-4 * 30 + m * 30) + -5 -117 + 31m = (-120 + 30m) + -5 Reorder the terms: -117 + 31m = -120 + -5 + 30m Combine like terms: -120 + -5 = -125 -117 + 31m = -125 + 30m Solving -117 + 31m = -125 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. -117 + 31m + -30m = -125 + 30m + -30m Combine like terms: 31m + -30m = 1m -117 + 1m = -125 + 30m + -30m Combine like terms: 30m + -30m = 0 -117 + 1m = -125 + 0 -117 + 1m = -125 Add '117' to each side of the equation. -117 + 117 + 1m = -125 + 117 Combine like terms: -117 + 117 = 0 0 + 1m = -125 + 117 1m = -125 + 117 Combine like terms: -125 + 117 = -8 1m = -8 Divide each side by '1'. m = -8 Simplifying m = -8
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