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Simplifying 15 + -8n = -3(1 + 2n) + 2 15 + -8n = (1 * -3 + 2n * -3) + 2 15 + -8n = (-3 + -6n) + 2 Reorder the terms: 15 + -8n = -3 + 2 + -6n Combine like terms: -3 + 2 = -1 15 + -8n = -1 + -6n Solving 15 + -8n = -1 + -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. 15 + -8n + 6n = -1 + -6n + 6n Combine like terms: -8n + 6n = -2n 15 + -2n = -1 + -6n + 6n Combine like terms: -6n + 6n = 0 15 + -2n = -1 + 0 15 + -2n = -1 Add '-15' to each side of the equation. 15 + -15 + -2n = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -2n = -1 + -15 -2n = -1 + -15 Combine like terms: -1 + -15 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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