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Simplifying -39 + -6n = 8(1 + 6n) + 7 -39 + -6n = (1 * 8 + 6n * 8) + 7 -39 + -6n = (8 + 48n) + 7 Reorder the terms: -39 + -6n = 8 + 7 + 48n Combine like terms: 8 + 7 = 15 -39 + -6n = 15 + 48n Solving -39 + -6n = 15 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. -39 + -6n + -48n = 15 + 48n + -48n Combine like terms: -6n + -48n = -54n -39 + -54n = 15 + 48n + -48n Combine like terms: 48n + -48n = 0 -39 + -54n = 15 + 0 -39 + -54n = 15 Add '39' to each side of the equation. -39 + 39 + -54n = 15 + 39 Combine like terms: -39 + 39 = 0 0 + -54n = 15 + 39 -54n = 15 + 39 Combine like terms: 15 + 39 = 54 -54n = 54 Divide each side by '-54'. n = -1 Simplifying n = -1
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