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Simplifying 3(n + n + 2) + 58 = 14(-1n + -4) Reorder the terms: 3(2 + n + n) + 58 = 14(-1n + -4) Combine like terms: n + n = 2n 3(2 + 2n) + 58 = 14(-1n + -4) (2 * 3 + 2n * 3) + 58 = 14(-1n + -4) (6 + 6n) + 58 = 14(-1n + -4) Reorder the terms: 6 + 58 + 6n = 14(-1n + -4) Combine like terms: 6 + 58 = 64 64 + 6n = 14(-1n + -4) Reorder the terms: 64 + 6n = 14(-4 + -1n) 64 + 6n = (-4 * 14 + -1n * 14) 64 + 6n = (-56 + -14n) Solving 64 + 6n = -56 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 64 + 6n + 14n = -56 + -14n + 14n Combine like terms: 6n + 14n = 20n 64 + 20n = -56 + -14n + 14n Combine like terms: -14n + 14n = 0 64 + 20n = -56 + 0 64 + 20n = -56 Add '-64' to each side of the equation. 64 + -64 + 20n = -56 + -64 Combine like terms: 64 + -64 = 0 0 + 20n = -56 + -64 20n = -56 + -64 Combine like terms: -56 + -64 = -120 20n = -120 Divide each side by '20'. n = -6 Simplifying n = -6
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