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Simplifying 10(n + 1) = -2(2n + 9) Reorder the terms: 10(1 + n) = -2(2n + 9) (1 * 10 + n * 10) = -2(2n + 9) (10 + 10n) = -2(2n + 9) Reorder the terms: 10 + 10n = -2(9 + 2n) 10 + 10n = (9 * -2 + 2n * -2) 10 + 10n = (-18 + -4n) Solving 10 + 10n = -18 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 10 + 10n + 4n = -18 + -4n + 4n Combine like terms: 10n + 4n = 14n 10 + 14n = -18 + -4n + 4n Combine like terms: -4n + 4n = 0 10 + 14n = -18 + 0 10 + 14n = -18 Add '-10' to each side of the equation. 10 + -10 + 14n = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 14n = -18 + -10 14n = -18 + -10 Combine like terms: -18 + -10 = -28 14n = -28 Divide each side by '14'. n = -2 Simplifying n = -2
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