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Simplifying 10 + 2n = 8n + -2(n + -1) Reorder the terms: 10 + 2n = 8n + -2(-1 + n) 10 + 2n = 8n + (-1 * -2 + n * -2) 10 + 2n = 8n + (2 + -2n) Reorder the terms: 10 + 2n = 2 + 8n + -2n Combine like terms: 8n + -2n = 6n 10 + 2n = 2 + 6n Solving 10 + 2n = 2 + 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 + 2n + -6n = 2 + 6n + -6n Combine like terms: 2n + -6n = -4n 10 + -4n = 2 + 6n + -6n Combine like terms: 6n + -6n = 0 10 + -4n = 2 + 0 10 + -4n = 2 Add '-10' to each side of the equation. 10 + -10 + -4n = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -4n = 2 + -10 -4n = 2 + -10 Combine like terms: 2 + -10 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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