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Simplifying 21n + -3(5 + -6n) = 34 + -1(19 + -15n) 21n + (5 * -3 + -6n * -3) = 34 + -1(19 + -15n) 21n + (-15 + 18n) = 34 + -1(19 + -15n) Reorder the terms: -15 + 21n + 18n = 34 + -1(19 + -15n) Combine like terms: 21n + 18n = 39n -15 + 39n = 34 + -1(19 + -15n) -15 + 39n = 34 + (19 * -1 + -15n * -1) -15 + 39n = 34 + (-19 + 15n) Combine like terms: 34 + -19 = 15 -15 + 39n = 15 + 15n Solving -15 + 39n = 15 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -15 + 39n + -15n = 15 + 15n + -15n Combine like terms: 39n + -15n = 24n -15 + 24n = 15 + 15n + -15n Combine like terms: 15n + -15n = 0 -15 + 24n = 15 + 0 -15 + 24n = 15 Add '15' to each side of the equation. -15 + 15 + 24n = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 24n = 15 + 15 24n = 15 + 15 Combine like terms: 15 + 15 = 30 24n = 30 Divide each side by '24'. n = 1.25 Simplifying n = 1.25
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