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Simplifying 4(m + -5) + -3(4m + -1) = -9(m + 4) + -3 Reorder the terms: 4(-5 + m) + -3(4m + -1) = -9(m + 4) + -3 (-5 * 4 + m * 4) + -3(4m + -1) = -9(m + 4) + -3 (-20 + 4m) + -3(4m + -1) = -9(m + 4) + -3 Reorder the terms: -20 + 4m + -3(-1 + 4m) = -9(m + 4) + -3 -20 + 4m + (-1 * -3 + 4m * -3) = -9(m + 4) + -3 -20 + 4m + (3 + -12m) = -9(m + 4) + -3 Reorder the terms: -20 + 3 + 4m + -12m = -9(m + 4) + -3 Combine like terms: -20 + 3 = -17 -17 + 4m + -12m = -9(m + 4) + -3 Combine like terms: 4m + -12m = -8m -17 + -8m = -9(m + 4) + -3 Reorder the terms: -17 + -8m = -9(4 + m) + -3 -17 + -8m = (4 * -9 + m * -9) + -3 -17 + -8m = (-36 + -9m) + -3 Reorder the terms: -17 + -8m = -36 + -3 + -9m Combine like terms: -36 + -3 = -39 -17 + -8m = -39 + -9m Solving -17 + -8m = -39 + -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. -17 + -8m + 9m = -39 + -9m + 9m Combine like terms: -8m + 9m = 1m -17 + 1m = -39 + -9m + 9m Combine like terms: -9m + 9m = 0 -17 + 1m = -39 + 0 -17 + 1m = -39 Add '17' to each side of the equation. -17 + 17 + 1m = -39 + 17 Combine like terms: -17 + 17 = 0 0 + 1m = -39 + 17 1m = -39 + 17 Combine like terms: -39 + 17 = -22 1m = -22 Divide each side by '1'. m = -22 Simplifying m = -22
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