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Simplifying 3(-7n + 3) + -5 = 27 + 2n Reorder the terms: 3(3 + -7n) + -5 = 27 + 2n (3 * 3 + -7n * 3) + -5 = 27 + 2n (9 + -21n) + -5 = 27 + 2n Reorder the terms: 9 + -5 + -21n = 27 + 2n Combine like terms: 9 + -5 = 4 4 + -21n = 27 + 2n Solving 4 + -21n = 27 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 4 + -21n + -2n = 27 + 2n + -2n Combine like terms: -21n + -2n = -23n 4 + -23n = 27 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + -23n = 27 + 0 4 + -23n = 27 Add '-4' to each side of the equation. 4 + -4 + -23n = 27 + -4 Combine like terms: 4 + -4 = 0 0 + -23n = 27 + -4 -23n = 27 + -4 Combine like terms: 27 + -4 = 23 -23n = 23 Divide each side by '-23'. n = -1 Simplifying n = -1
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