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Simplifying -8(6n + -1) + -7n = -39 + -8n Reorder the terms: -8(-1 + 6n) + -7n = -39 + -8n (-1 * -8 + 6n * -8) + -7n = -39 + -8n (8 + -48n) + -7n = -39 + -8n Combine like terms: -48n + -7n = -55n 8 + -55n = -39 + -8n Solving 8 + -55n = -39 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 8 + -55n + 8n = -39 + -8n + 8n Combine like terms: -55n + 8n = -47n 8 + -47n = -39 + -8n + 8n Combine like terms: -8n + 8n = 0 8 + -47n = -39 + 0 8 + -47n = -39 Add '-8' to each side of the equation. 8 + -8 + -47n = -39 + -8 Combine like terms: 8 + -8 = 0 0 + -47n = -39 + -8 -47n = -39 + -8 Combine like terms: -39 + -8 = -47 -47n = -47 Divide each side by '-47'. n = 1 Simplifying n = 1
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