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Simplifying 8n + 10 = 3(2n + -2) Reorder the terms: 10 + 8n = 3(2n + -2) Reorder the terms: 10 + 8n = 3(-2 + 2n) 10 + 8n = (-2 * 3 + 2n * 3) 10 + 8n = (-6 + 6n) Solving 10 + 8n = -6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 10 + 8n + -6n = -6 + 6n + -6n Combine like terms: 8n + -6n = 2n 10 + 2n = -6 + 6n + -6n Combine like terms: 6n + -6n = 0 10 + 2n = -6 + 0 10 + 2n = -6 Add '-10' to each side of the equation. 10 + -10 + 2n = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = -6 + -10 2n = -6 + -10 Combine like terms: -6 + -10 = -16 2n = -16 Divide each side by '2'. n = -8 Simplifying n = -8
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