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Simplifying -5n + 8(8 + 6n) = 7(-1n + 2) -5n + (8 * 8 + 6n * 8) = 7(-1n + 2) -5n + (64 + 48n) = 7(-1n + 2) Reorder the terms: 64 + -5n + 48n = 7(-1n + 2) Combine like terms: -5n + 48n = 43n 64 + 43n = 7(-1n + 2) Reorder the terms: 64 + 43n = 7(2 + -1n) 64 + 43n = (2 * 7 + -1n * 7) 64 + 43n = (14 + -7n) Solving 64 + 43n = 14 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 64 + 43n + 7n = 14 + -7n + 7n Combine like terms: 43n + 7n = 50n 64 + 50n = 14 + -7n + 7n Combine like terms: -7n + 7n = 0 64 + 50n = 14 + 0 64 + 50n = 14 Add '-64' to each side of the equation. 64 + -64 + 50n = 14 + -64 Combine like terms: 64 + -64 = 0 0 + 50n = 14 + -64 50n = 14 + -64 Combine like terms: 14 + -64 = -50 50n = -50 Divide each side by '50'. n = -1 Simplifying n = -1
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