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Simplifying 5(-2n + 1) + 3(4n + -6) = 21 Reorder the terms: 5(1 + -2n) + 3(4n + -6) = 21 (1 * 5 + -2n * 5) + 3(4n + -6) = 21 (5 + -10n) + 3(4n + -6) = 21 Reorder the terms: 5 + -10n + 3(-6 + 4n) = 21 5 + -10n + (-6 * 3 + 4n * 3) = 21 5 + -10n + (-18 + 12n) = 21 Reorder the terms: 5 + -18 + -10n + 12n = 21 Combine like terms: 5 + -18 = -13 -13 + -10n + 12n = 21 Combine like terms: -10n + 12n = 2n -13 + 2n = 21 Solving -13 + 2n = 21 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2n = 21 + 13 Combine like terms: -13 + 13 = 0 0 + 2n = 21 + 13 2n = 21 + 13 Combine like terms: 21 + 13 = 34 2n = 34 Divide each side by '2'. n = 17 Simplifying n = 17
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