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Simplifying 5(2n + 1) + -3(4n + -8) = 17 Reorder the terms: 5(1 + 2n) + -3(4n + -8) = 17 (1 * 5 + 2n * 5) + -3(4n + -8) = 17 (5 + 10n) + -3(4n + -8) = 17 Reorder the terms: 5 + 10n + -3(-8 + 4n) = 17 5 + 10n + (-8 * -3 + 4n * -3) = 17 5 + 10n + (24 + -12n) = 17 Reorder the terms: 5 + 24 + 10n + -12n = 17 Combine like terms: 5 + 24 = 29 29 + 10n + -12n = 17 Combine like terms: 10n + -12n = -2n 29 + -2n = 17 Solving 29 + -2n = 17 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -2n = 17 + -29 Combine like terms: 29 + -29 = 0 0 + -2n = 17 + -29 -2n = 17 + -29 Combine like terms: 17 + -29 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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