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Simplifying 4(m + -5) = 2(m + 3) + 4 Reorder the terms: 4(-5 + m) = 2(m + 3) + 4 (-5 * 4 + m * 4) = 2(m + 3) + 4 (-20 + 4m) = 2(m + 3) + 4 Reorder the terms: -20 + 4m = 2(3 + m) + 4 -20 + 4m = (3 * 2 + m * 2) + 4 -20 + 4m = (6 + 2m) + 4 Reorder the terms: -20 + 4m = 6 + 4 + 2m Combine like terms: 6 + 4 = 10 -20 + 4m = 10 + 2m Solving -20 + 4m = 10 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -20 + 4m + -2m = 10 + 2m + -2m Combine like terms: 4m + -2m = 2m -20 + 2m = 10 + 2m + -2m Combine like terms: 2m + -2m = 0 -20 + 2m = 10 + 0 -20 + 2m = 10 Add '20' to each side of the equation. -20 + 20 + 2m = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 2m = 10 + 20 2m = 10 + 20 Combine like terms: 10 + 20 = 30 2m = 30 Divide each side by '2'. m = 15 Simplifying m = 15
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