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Simplifying -8n + 7 = -1(6n + 3) Reorder the terms: 7 + -8n = -1(6n + 3) Reorder the terms: 7 + -8n = -1(3 + 6n) 7 + -8n = (3 * -1 + 6n * -1) 7 + -8n = (-3 + -6n) Solving 7 + -8n = -3 + -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. 7 + -8n + 6n = -3 + -6n + 6n Combine like terms: -8n + 6n = -2n 7 + -2n = -3 + -6n + 6n Combine like terms: -6n + 6n = 0 7 + -2n = -3 + 0 7 + -2n = -3 Add '-7' to each side of the equation. 7 + -7 + -2n = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = -3 + -7 -2n = -3 + -7 Combine like terms: -3 + -7 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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