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Simplifying 0.5(2n + 6) = -5n + -12 + -1n Reorder the terms: 0.5(6 + 2n) = -5n + -12 + -1n (6 * 0.5 + 2n * 0.5) = -5n + -12 + -1n (3 + 1n) = -5n + -12 + -1n Reorder the terms: 3 + 1n = -12 + -5n + -1n Combine like terms: -5n + -1n = -6n 3 + 1n = -12 + -6n Solving 3 + 1n = -12 + -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. 3 + 1n + 6n = -12 + -6n + 6n Combine like terms: 1n + 6n = 7n 3 + 7n = -12 + -6n + 6n Combine like terms: -6n + 6n = 0 3 + 7n = -12 + 0 3 + 7n = -12 Add '-3' to each side of the equation. 3 + -3 + 7n = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 7n = -12 + -3 7n = -12 + -3 Combine like terms: -12 + -3 = -15 7n = -15 Divide each side by '7'. n = -2.142857143 Simplifying n = -2.142857143
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