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Simplifying 6 + (-1n + 9) = -4(7n + -8) + -7 Reorder the terms: 6 + (9 + -1n) = -4(7n + -8) + -7 Remove parenthesis around (9 + -1n) 6 + 9 + -1n = -4(7n + -8) + -7 Combine like terms: 6 + 9 = 15 15 + -1n = -4(7n + -8) + -7 Reorder the terms: 15 + -1n = -4(-8 + 7n) + -7 15 + -1n = (-8 * -4 + 7n * -4) + -7 15 + -1n = (32 + -28n) + -7 Reorder the terms: 15 + -1n = 32 + -7 + -28n Combine like terms: 32 + -7 = 25 15 + -1n = 25 + -28n Solving 15 + -1n = 25 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 15 + -1n + 28n = 25 + -28n + 28n Combine like terms: -1n + 28n = 27n 15 + 27n = 25 + -28n + 28n Combine like terms: -28n + 28n = 0 15 + 27n = 25 + 0 15 + 27n = 25 Add '-15' to each side of the equation. 15 + -15 + 27n = 25 + -15 Combine like terms: 15 + -15 = 0 0 + 27n = 25 + -15 27n = 25 + -15 Combine like terms: 25 + -15 = 10 27n = 10 Divide each side by '27'. n = 0.3703703704 Simplifying n = 0.3703703704
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