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Simplifying 4m + 5(7m + -3) = 9(m + -5) Reorder the terms: 4m + 5(-3 + 7m) = 9(m + -5) 4m + (-3 * 5 + 7m * 5) = 9(m + -5) 4m + (-15 + 35m) = 9(m + -5) Reorder the terms: -15 + 4m + 35m = 9(m + -5) Combine like terms: 4m + 35m = 39m -15 + 39m = 9(m + -5) Reorder the terms: -15 + 39m = 9(-5 + m) -15 + 39m = (-5 * 9 + m * 9) -15 + 39m = (-45 + 9m) Solving -15 + 39m = -45 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -15 + 39m + -9m = -45 + 9m + -9m Combine like terms: 39m + -9m = 30m -15 + 30m = -45 + 9m + -9m Combine like terms: 9m + -9m = 0 -15 + 30m = -45 + 0 -15 + 30m = -45 Add '15' to each side of the equation. -15 + 15 + 30m = -45 + 15 Combine like terms: -15 + 15 = 0 0 + 30m = -45 + 15 30m = -45 + 15 Combine like terms: -45 + 15 = -30 30m = -30 Divide each side by '30'. m = -1 Simplifying m = -1
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