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Simplifying 5(4m + 3) = 2m + -21 Reorder the terms: 5(3 + 4m) = 2m + -21 (3 * 5 + 4m * 5) = 2m + -21 (15 + 20m) = 2m + -21 Reorder the terms: 15 + 20m = -21 + 2m Solving 15 + 20m = -21 + 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. 15 + 20m + -2m = -21 + 2m + -2m Combine like terms: 20m + -2m = 18m 15 + 18m = -21 + 2m + -2m Combine like terms: 2m + -2m = 0 15 + 18m = -21 + 0 15 + 18m = -21 Add '-15' to each side of the equation. 15 + -15 + 18m = -21 + -15 Combine like terms: 15 + -15 = 0 0 + 18m = -21 + -15 18m = -21 + -15 Combine like terms: -21 + -15 = -36 18m = -36 Divide each side by '18'. m = -2 Simplifying m = -2
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