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Simplifying 6(8 + n) = 40 + 5n (8 * 6 + n * 6) = 40 + 5n (48 + 6n) = 40 + 5n Solving 48 + 6n = 40 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 48 + 6n + -5n = 40 + 5n + -5n Combine like terms: 6n + -5n = 1n 48 + 1n = 40 + 5n + -5n Combine like terms: 5n + -5n = 0 48 + 1n = 40 + 0 48 + 1n = 40 Add '-48' to each side of the equation. 48 + -48 + 1n = 40 + -48 Combine like terms: 48 + -48 = 0 0 + 1n = 40 + -48 1n = 40 + -48 Combine like terms: 40 + -48 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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