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Simplifying 4(5 + m) + -2(m + -12) + -1m = 3(m + -2) (5 * 4 + m * 4) + -2(m + -12) + -1m = 3(m + -2) (20 + 4m) + -2(m + -12) + -1m = 3(m + -2) Reorder the terms: 20 + 4m + -2(-12 + m) + -1m = 3(m + -2) 20 + 4m + (-12 * -2 + m * -2) + -1m = 3(m + -2) 20 + 4m + (24 + -2m) + -1m = 3(m + -2) Reorder the terms: 20 + 24 + 4m + -2m + -1m = 3(m + -2) Combine like terms: 20 + 24 = 44 44 + 4m + -2m + -1m = 3(m + -2) Combine like terms: 4m + -2m = 2m 44 + 2m + -1m = 3(m + -2) Combine like terms: 2m + -1m = 1m 44 + 1m = 3(m + -2) Reorder the terms: 44 + 1m = 3(-2 + m) 44 + 1m = (-2 * 3 + m * 3) 44 + 1m = (-6 + 3m) Solving 44 + 1m = -6 + 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. 44 + 1m + -3m = -6 + 3m + -3m Combine like terms: 1m + -3m = -2m 44 + -2m = -6 + 3m + -3m Combine like terms: 3m + -3m = 0 44 + -2m = -6 + 0 44 + -2m = -6 Add '-44' to each side of the equation. 44 + -44 + -2m = -6 + -44 Combine like terms: 44 + -44 = 0 0 + -2m = -6 + -44 -2m = -6 + -44 Combine like terms: -6 + -44 = -50 -2m = -50 Divide each side by '-2'. m = 25 Simplifying m = 25
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