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Simplifying 3(2n + 5) = 6(3n + -7) Reorder the terms: 3(5 + 2n) = 6(3n + -7) (5 * 3 + 2n * 3) = 6(3n + -7) (15 + 6n) = 6(3n + -7) Reorder the terms: 15 + 6n = 6(-7 + 3n) 15 + 6n = (-7 * 6 + 3n * 6) 15 + 6n = (-42 + 18n) Solving 15 + 6n = -42 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 15 + 6n + -18n = -42 + 18n + -18n Combine like terms: 6n + -18n = -12n 15 + -12n = -42 + 18n + -18n Combine like terms: 18n + -18n = 0 15 + -12n = -42 + 0 15 + -12n = -42 Add '-15' to each side of the equation. 15 + -15 + -12n = -42 + -15 Combine like terms: 15 + -15 = 0 0 + -12n = -42 + -15 -12n = -42 + -15 Combine like terms: -42 + -15 = -57 -12n = -57 Divide each side by '-12'. n = 4.75 Simplifying n = 4.75
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