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Simplifying 45 = 5(3n + -6) Reorder the terms: 45 = 5(-6 + 3n) 45 = (-6 * 5 + 3n * 5) 45 = (-30 + 15n) Solving 45 = -30 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 45 + -15n = -30 + 15n + -15n Combine like terms: 15n + -15n = 0 45 + -15n = -30 + 0 45 + -15n = -30 Add '-45' to each side of the equation. 45 + -45 + -15n = -30 + -45 Combine like terms: 45 + -45 = 0 0 + -15n = -30 + -45 -15n = -30 + -45 Combine like terms: -30 + -45 = -75 -15n = -75 Divide each side by '-15'. n = 5 Simplifying n = 5
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