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Simplifying 3(1 + 4n + -1n) + -2(5n + -3) = 25 Combine like terms: 4n + -1n = 3n 3(1 + 3n) + -2(5n + -3) = 25 (1 * 3 + 3n * 3) + -2(5n + -3) = 25 (3 + 9n) + -2(5n + -3) = 25 Reorder the terms: 3 + 9n + -2(-3 + 5n) = 25 3 + 9n + (-3 * -2 + 5n * -2) = 25 3 + 9n + (6 + -10n) = 25 Reorder the terms: 3 + 6 + 9n + -10n = 25 Combine like terms: 3 + 6 = 9 9 + 9n + -10n = 25 Combine like terms: 9n + -10n = -1n 9 + -1n = 25 Solving 9 + -1n = 25 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1n = 25 + -9 Combine like terms: 9 + -9 = 0 0 + -1n = 25 + -9 -1n = 25 + -9 Combine like terms: 25 + -9 = 16 -1n = 16 Divide each side by '-1'. n = -16 Simplifying n = -16
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