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Simplifying 2(6n + 5) = 0.5(2n + -8) + 3 Reorder the terms: 2(5 + 6n) = 0.5(2n + -8) + 3 (5 * 2 + 6n * 2) = 0.5(2n + -8) + 3 (10 + 12n) = 0.5(2n + -8) + 3 Reorder the terms: 10 + 12n = 0.5(-8 + 2n) + 3 10 + 12n = (-8 * 0.5 + 2n * 0.5) + 3 10 + 12n = (-4 + 1n) + 3 Reorder the terms: 10 + 12n = -4 + 3 + 1n Combine like terms: -4 + 3 = -1 10 + 12n = -1 + 1n Solving 10 + 12n = -1 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 10 + 12n + -1n = -1 + 1n + -1n Combine like terms: 12n + -1n = 11n 10 + 11n = -1 + 1n + -1n Combine like terms: 1n + -1n = 0 10 + 11n = -1 + 0 10 + 11n = -1 Add '-10' to each side of the equation. 10 + -10 + 11n = -1 + -10 Combine like terms: 10 + -10 = 0 0 + 11n = -1 + -10 11n = -1 + -10 Combine like terms: -1 + -10 = -11 11n = -11 Divide each side by '11'. n = -1 Simplifying n = -1
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