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Simplifying 4(3 + -1m) + 3(m + -5) = 23 (3 * 4 + -1m * 4) + 3(m + -5) = 23 (12 + -4m) + 3(m + -5) = 23 Reorder the terms: 12 + -4m + 3(-5 + m) = 23 12 + -4m + (-5 * 3 + m * 3) = 23 12 + -4m + (-15 + 3m) = 23 Reorder the terms: 12 + -15 + -4m + 3m = 23 Combine like terms: 12 + -15 = -3 -3 + -4m + 3m = 23 Combine like terms: -4m + 3m = -1m -3 + -1m = 23 Solving -3 + -1m = 23 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1m = 23 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 23 + 3 -1m = 23 + 3 Combine like terms: 23 + 3 = 26 -1m = 26 Divide each side by '-1'. m = -26 Simplifying m = -26
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