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Simplifying 160 = 4n + 5(1 + -7n) 160 = 4n + (1 * 5 + -7n * 5) 160 = 4n + (5 + -35n) Reorder the terms: 160 = 5 + 4n + -35n Combine like terms: 4n + -35n = -31n 160 = 5 + -31n Solving 160 = 5 + -31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31n' to each side of the equation. 160 + 31n = 5 + -31n + 31n Combine like terms: -31n + 31n = 0 160 + 31n = 5 + 0 160 + 31n = 5 Add '-160' to each side of the equation. 160 + -160 + 31n = 5 + -160 Combine like terms: 160 + -160 = 0 0 + 31n = 5 + -160 31n = 5 + -160 Combine like terms: 5 + -160 = -155 31n = -155 Divide each side by '31'. n = -5 Simplifying n = -5
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