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Simplifying 35 + -6n = -11n + 8(-1n + -7) Reorder the terms: 35 + -6n = -11n + 8(-7 + -1n) 35 + -6n = -11n + (-7 * 8 + -1n * 8) 35 + -6n = -11n + (-56 + -8n) Reorder the terms: 35 + -6n = -56 + -11n + -8n Combine like terms: -11n + -8n = -19n 35 + -6n = -56 + -19n Solving 35 + -6n = -56 + -19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19n' to each side of the equation. 35 + -6n + 19n = -56 + -19n + 19n Combine like terms: -6n + 19n = 13n 35 + 13n = -56 + -19n + 19n Combine like terms: -19n + 19n = 0 35 + 13n = -56 + 0 35 + 13n = -56 Add '-35' to each side of the equation. 35 + -35 + 13n = -56 + -35 Combine like terms: 35 + -35 = 0 0 + 13n = -56 + -35 13n = -56 + -35 Combine like terms: -56 + -35 = -91 13n = -91 Divide each side by '13'. n = -7 Simplifying n = -7
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