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Simplifying 7(6n + 7) + -7 = -3n + 2n Reorder the terms: 7(7 + 6n) + -7 = -3n + 2n (7 * 7 + 6n * 7) + -7 = -3n + 2n (49 + 42n) + -7 = -3n + 2n Reorder the terms: 49 + -7 + 42n = -3n + 2n Combine like terms: 49 + -7 = 42 42 + 42n = -3n + 2n Combine like terms: -3n + 2n = -1n 42 + 42n = -1n Solving 42 + 42n = -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. 42 + 42n + n = -1n + n Combine like terms: 42n + n = 43n 42 + 43n = -1n + n Combine like terms: -1n + n = 0 42 + 43n = 0 Add '-42' to each side of the equation. 42 + -42 + 43n = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 43n = 0 + -42 43n = 0 + -42 Combine like terms: 0 + -42 = -42 43n = -42 Divide each side by '43'. n = -0.976744186 Simplifying n = -0.976744186
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