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Simplifying 6(n + 8) = 1 + 7n Reorder the terms: 6(8 + n) = 1 + 7n (8 * 6 + n * 6) = 1 + 7n (48 + 6n) = 1 + 7n Solving 48 + 6n = 1 + 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. 48 + 6n + -7n = 1 + 7n + -7n Combine like terms: 6n + -7n = -1n 48 + -1n = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 48 + -1n = 1 + 0 48 + -1n = 1 Add '-48' to each side of the equation. 48 + -48 + -1n = 1 + -48 Combine like terms: 48 + -48 = 0 0 + -1n = 1 + -48 -1n = 1 + -48 Combine like terms: 1 + -48 = -47 -1n = -47 Divide each side by '-1'. n = 47 Simplifying n = 47
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