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Simplifying 8 + -4(m + 5) = 3(m + -9) Reorder the terms: 8 + -4(5 + m) = 3(m + -9) 8 + (5 * -4 + m * -4) = 3(m + -9) 8 + (-20 + -4m) = 3(m + -9) Combine like terms: 8 + -20 = -12 -12 + -4m = 3(m + -9) Reorder the terms: -12 + -4m = 3(-9 + m) -12 + -4m = (-9 * 3 + m * 3) -12 + -4m = (-27 + 3m) Solving -12 + -4m = -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. -12 + -4m + -3m = -27 + 3m + -3m Combine like terms: -4m + -3m = -7m -12 + -7m = -27 + 3m + -3m Combine like terms: 3m + -3m = 0 -12 + -7m = -27 + 0 -12 + -7m = -27 Add '12' to each side of the equation. -12 + 12 + -7m = -27 + 12 Combine like terms: -12 + 12 = 0 0 + -7m = -27 + 12 -7m = -27 + 12 Combine like terms: -27 + 12 = -15 -7m = -15 Divide each side by '-7'. m = 2.142857143 Simplifying m = 2.142857143
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