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Simplifying 3n + 7 = n + -1(1 + -1n) Reorder the terms: 7 + 3n = n + -1(1 + -1n) 7 + 3n = n + (1 * -1 + -1n * -1) 7 + 3n = n + (-1 + 1n) Reorder the terms: 7 + 3n = -1 + n + 1n Combine like terms: n + 1n = 2n 7 + 3n = -1 + 2n Solving 7 + 3n = -1 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 7 + 3n + -2n = -1 + 2n + -2n Combine like terms: 3n + -2n = 1n 7 + 1n = -1 + 2n + -2n Combine like terms: 2n + -2n = 0 7 + 1n = -1 + 0 7 + 1n = -1 Add '-7' to each side of the equation. 7 + -7 + 1n = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 1n = -1 + -7 1n = -1 + -7 Combine like terms: -1 + -7 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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