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Simplifying 5(2n + 3) = 7(4m + 3) + 2 Reorder the terms: 5(3 + 2n) = 7(4m + 3) + 2 (3 * 5 + 2n * 5) = 7(4m + 3) + 2 (15 + 10n) = 7(4m + 3) + 2 Reorder the terms: 15 + 10n = 7(3 + 4m) + 2 15 + 10n = (3 * 7 + 4m * 7) + 2 15 + 10n = (21 + 28m) + 2 Reorder the terms: 15 + 10n = 21 + 2 + 28m Combine like terms: 21 + 2 = 23 15 + 10n = 23 + 28m Solving 15 + 10n = 23 + 28m Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 10n = 23 + -15 + 28m Combine like terms: 15 + -15 = 0 0 + 10n = 23 + -15 + 28m 10n = 23 + -15 + 28m Combine like terms: 23 + -15 = 8 10n = 8 + 28m Divide each side by '10'. n = 0.8 + 2.8m Simplifying n = 0.8 + 2.8m
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