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Simplifying 6(2n + 5) = 6(n + -3) Reorder the terms: 6(5 + 2n) = 6(n + -3) (5 * 6 + 2n * 6) = 6(n + -3) (30 + 12n) = 6(n + -3) Reorder the terms: 30 + 12n = 6(-3 + n) 30 + 12n = (-3 * 6 + n * 6) 30 + 12n = (-18 + 6n) Solving 30 + 12n = -18 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 30 + 12n + -6n = -18 + 6n + -6n Combine like terms: 12n + -6n = 6n 30 + 6n = -18 + 6n + -6n Combine like terms: 6n + -6n = 0 30 + 6n = -18 + 0 30 + 6n = -18 Add '-30' to each side of the equation. 30 + -30 + 6n = -18 + -30 Combine like terms: 30 + -30 = 0 0 + 6n = -18 + -30 6n = -18 + -30 Combine like terms: -18 + -30 = -48 6n = -48 Divide each side by '6'. n = -8 Simplifying n = -8
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