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Simplifying 3(1 + 7n) = -5 + 8(1 + -2n) + -2n (1 * 3 + 7n * 3) = -5 + 8(1 + -2n) + -2n (3 + 21n) = -5 + 8(1 + -2n) + -2n 3 + 21n = -5 + (1 * 8 + -2n * 8) + -2n 3 + 21n = -5 + (8 + -16n) + -2n Combine like terms: -5 + 8 = 3 3 + 21n = 3 + -16n + -2n Combine like terms: -16n + -2n = -18n 3 + 21n = 3 + -18n Add '-3' to each side of the equation. 3 + -3 + 21n = 3 + -3 + -18n Combine like terms: 3 + -3 = 0 0 + 21n = 3 + -3 + -18n 21n = 3 + -3 + -18n Combine like terms: 3 + -3 = 0 21n = 0 + -18n 21n = -18n Solving 21n = -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 21n + 18n = -18n + 18n Combine like terms: 21n + 18n = 39n 39n = -18n + 18n Combine like terms: -18n + 18n = 0 39n = 0 Divide each side by '39'. n = 0 Simplifying n = 0
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