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Simplifying 6(8 + -5n) = 3n + 15 (8 * 6 + -5n * 6) = 3n + 15 (48 + -30n) = 3n + 15 Reorder the terms: 48 + -30n = 15 + 3n Solving 48 + -30n = 15 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 48 + -30n + -3n = 15 + 3n + -3n Combine like terms: -30n + -3n = -33n 48 + -33n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 48 + -33n = 15 + 0 48 + -33n = 15 Add '-48' to each side of the equation. 48 + -48 + -33n = 15 + -48 Combine like terms: 48 + -48 = 0 0 + -33n = 15 + -48 -33n = 15 + -48 Combine like terms: 15 + -48 = -33 -33n = -33 Divide each side by '-33'. n = 1 Simplifying n = 1
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