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Simplifying 21(5m + 19) = 21(6m + 12) Reorder the terms: 21(19 + 5m) = 21(6m + 12) (19 * 21 + 5m * 21) = 21(6m + 12) (399 + 105m) = 21(6m + 12) Reorder the terms: 399 + 105m = 21(12 + 6m) 399 + 105m = (12 * 21 + 6m * 21) 399 + 105m = (252 + 126m) Solving 399 + 105m = 252 + 126m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-126m' to each side of the equation. 399 + 105m + -126m = 252 + 126m + -126m Combine like terms: 105m + -126m = -21m 399 + -21m = 252 + 126m + -126m Combine like terms: 126m + -126m = 0 399 + -21m = 252 + 0 399 + -21m = 252 Add '-399' to each side of the equation. 399 + -399 + -21m = 252 + -399 Combine like terms: 399 + -399 = 0 0 + -21m = 252 + -399 -21m = 252 + -399 Combine like terms: 252 + -399 = -147 -21m = -147 Divide each side by '-21'. m = 7 Simplifying m = 7
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