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Simplifying 0.2(6n + 5) = 0.5(2n + -8) + 3 Reorder the terms: 0.2(5 + 6n) = 0.5(2n + -8) + 3 (5 * 0.2 + 6n * 0.2) = 0.5(2n + -8) + 3 (1 + 1.2n) = 0.5(2n + -8) + 3 Reorder the terms: 1 + 1.2n = 0.5(-8 + 2n) + 3 1 + 1.2n = (-8 * 0.5 + 2n * 0.5) + 3 1 + 1.2n = (-4 + 1n) + 3 Reorder the terms: 1 + 1.2n = -4 + 3 + 1n Combine like terms: -4 + 3 = -1 1 + 1.2n = -1 + 1n Solving 1 + 1.2n = -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. 1 + 1.2n + -1n = -1 + 1n + -1n Combine like terms: 1.2n + -1n = 0.2n 1 + 0.2n = -1 + 1n + -1n Combine like terms: 1n + -1n = 0 1 + 0.2n = -1 + 0 1 + 0.2n = -1 Add '-1' to each side of the equation. 1 + -1 + 0.2n = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 0.2n = -1 + -1 0.2n = -1 + -1 Combine like terms: -1 + -1 = -2 0.2n = -2 Divide each side by '0.2'. n = -10 Simplifying n = -10
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