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Simplifying 5(2n + -6) + 21 = 14 + -8(1 + -3n) Reorder the terms: 5(-6 + 2n) + 21 = 14 + -8(1 + -3n) (-6 * 5 + 2n * 5) + 21 = 14 + -8(1 + -3n) (-30 + 10n) + 21 = 14 + -8(1 + -3n) Reorder the terms: -30 + 21 + 10n = 14 + -8(1 + -3n) Combine like terms: -30 + 21 = -9 -9 + 10n = 14 + -8(1 + -3n) -9 + 10n = 14 + (1 * -8 + -3n * -8) -9 + 10n = 14 + (-8 + 24n) Combine like terms: 14 + -8 = 6 -9 + 10n = 6 + 24n Solving -9 + 10n = 6 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -9 + 10n + -24n = 6 + 24n + -24n Combine like terms: 10n + -24n = -14n -9 + -14n = 6 + 24n + -24n Combine like terms: 24n + -24n = 0 -9 + -14n = 6 + 0 -9 + -14n = 6 Add '9' to each side of the equation. -9 + 9 + -14n = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -14n = 6 + 9 -14n = 6 + 9 Combine like terms: 6 + 9 = 15 -14n = 15 Divide each side by '-14'. n = -1.071428571 Simplifying n = -1.071428571
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