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Simplifying 21 = 3(22 + -1m) + 2(m + -4) 21 = (22 * 3 + -1m * 3) + 2(m + -4) 21 = (66 + -3m) + 2(m + -4) Reorder the terms: 21 = 66 + -3m + 2(-4 + m) 21 = 66 + -3m + (-4 * 2 + m * 2) 21 = 66 + -3m + (-8 + 2m) Reorder the terms: 21 = 66 + -8 + -3m + 2m Combine like terms: 66 + -8 = 58 21 = 58 + -3m + 2m Combine like terms: -3m + 2m = -1m 21 = 58 + -1m Solving 21 = 58 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 21 + m = 58 + -1m + m Combine like terms: -1m + m = 0 21 + m = 58 + 0 21 + m = 58 Add '-21' to each side of the equation. 21 + -21 + m = 58 + -21 Combine like terms: 21 + -21 = 0 0 + m = 58 + -21 m = 58 + -21 Combine like terms: 58 + -21 = 37 m = 37 Simplifying m = 37
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