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Simplifying -4(n + -7) + -8 = 35 + -1n Reorder the terms: -4(-7 + n) + -8 = 35 + -1n (-7 * -4 + n * -4) + -8 = 35 + -1n (28 + -4n) + -8 = 35 + -1n Reorder the terms: 28 + -8 + -4n = 35 + -1n Combine like terms: 28 + -8 = 20 20 + -4n = 35 + -1n Solving 20 + -4n = 35 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 20 + -4n + n = 35 + -1n + n Combine like terms: -4n + n = -3n 20 + -3n = 35 + -1n + n Combine like terms: -1n + n = 0 20 + -3n = 35 + 0 20 + -3n = 35 Add '-20' to each side of the equation. 20 + -20 + -3n = 35 + -20 Combine like terms: 20 + -20 = 0 0 + -3n = 35 + -20 -3n = 35 + -20 Combine like terms: 35 + -20 = 15 -3n = 15 Divide each side by '-3'. n = -5 Simplifying n = -5
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