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Simplifying 33 + -9(5 + -1m) = 4(m + 7) 33 + (5 * -9 + -1m * -9) = 4(m + 7) 33 + (-45 + 9m) = 4(m + 7) Combine like terms: 33 + -45 = -12 -12 + 9m = 4(m + 7) Reorder the terms: -12 + 9m = 4(7 + m) -12 + 9m = (7 * 4 + m * 4) -12 + 9m = (28 + 4m) Solving -12 + 9m = 28 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -12 + 9m + -4m = 28 + 4m + -4m Combine like terms: 9m + -4m = 5m -12 + 5m = 28 + 4m + -4m Combine like terms: 4m + -4m = 0 -12 + 5m = 28 + 0 -12 + 5m = 28 Add '12' to each side of the equation. -12 + 12 + 5m = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 5m = 28 + 12 5m = 28 + 12 Combine like terms: 28 + 12 = 40 5m = 40 Divide each side by '5'. m = 8 Simplifying m = 8
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