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Simplifying 41 = -2(21 + -1m) + 3(m + -4) 41 = (21 * -2 + -1m * -2) + 3(m + -4) 41 = (-42 + 2m) + 3(m + -4) Reorder the terms: 41 = -42 + 2m + 3(-4 + m) 41 = -42 + 2m + (-4 * 3 + m * 3) 41 = -42 + 2m + (-12 + 3m) Reorder the terms: 41 = -42 + -12 + 2m + 3m Combine like terms: -42 + -12 = -54 41 = -54 + 2m + 3m Combine like terms: 2m + 3m = 5m 41 = -54 + 5m Solving 41 = -54 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 41 + -5m = -54 + 5m + -5m Combine like terms: 5m + -5m = 0 41 + -5m = -54 + 0 41 + -5m = -54 Add '-41' to each side of the equation. 41 + -41 + -5m = -54 + -41 Combine like terms: 41 + -41 = 0 0 + -5m = -54 + -41 -5m = -54 + -41 Combine like terms: -54 + -41 = -95 -5m = -95 Divide each side by '-5'. m = 19 Simplifying m = 19
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