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Simplifying 8x + -4(m + 5) = 3(m + -9) Reorder the terms: 8x + -4(5 + m) = 3(m + -9) 8x + (5 * -4 + m * -4) = 3(m + -9) 8x + (-20 + -4m) = 3(m + -9) Reorder the terms: -20 + -4m + 8x = 3(m + -9) Reorder the terms: -20 + -4m + 8x = 3(-9 + m) -20 + -4m + 8x = (-9 * 3 + m * 3) -20 + -4m + 8x = (-27 + 3m) Solving -20 + -4m + 8x = -27 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -20 + -4m + -3m + 8x = -27 + 3m + -3m Combine like terms: -4m + -3m = -7m -20 + -7m + 8x = -27 + 3m + -3m Combine like terms: 3m + -3m = 0 -20 + -7m + 8x = -27 + 0 -20 + -7m + 8x = -27 Add '20' to each side of the equation. -20 + -7m + 20 + 8x = -27 + 20 Reorder the terms: -20 + 20 + -7m + 8x = -27 + 20 Combine like terms: -20 + 20 = 0 0 + -7m + 8x = -27 + 20 -7m + 8x = -27 + 20 Combine like terms: -27 + 20 = -7 -7m + 8x = -7 Add '-8x' to each side of the equation. -7m + 8x + -8x = -7 + -8x Combine like terms: 8x + -8x = 0 -7m + 0 = -7 + -8x -7m = -7 + -8x Divide each side by '-7'. m = 1 + 1.142857143x Simplifying m = 1 + 1.142857143x
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