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Simplifying 35 + -1n = -3 + -1(7n + -2) Reorder the terms: 35 + -1n = -3 + -1(-2 + 7n) 35 + -1n = -3 + (-2 * -1 + 7n * -1) 35 + -1n = -3 + (2 + -7n) Combine like terms: -3 + 2 = -1 35 + -1n = -1 + -7n Solving 35 + -1n = -1 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 35 + -1n + 7n = -1 + -7n + 7n Combine like terms: -1n + 7n = 6n 35 + 6n = -1 + -7n + 7n Combine like terms: -7n + 7n = 0 35 + 6n = -1 + 0 35 + 6n = -1 Add '-35' to each side of the equation. 35 + -35 + 6n = -1 + -35 Combine like terms: 35 + -35 = 0 0 + 6n = -1 + -35 6n = -1 + -35 Combine like terms: -1 + -35 = -36 6n = -36 Divide each side by '6'. n = -6 Simplifying n = -6
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