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Simplifying 0.5(2n + 6) = -12 + -1n Reorder the terms: 0.5(6 + 2n) = -12 + -1n (6 * 0.5 + 2n * 0.5) = -12 + -1n (3 + 1n) = -12 + -1n Solving 3 + 1n = -12 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 3 + 1n + n = -12 + -1n + n Combine like terms: 1n + n = 2n 3 + 2n = -12 + -1n + n Combine like terms: -1n + n = 0 3 + 2n = -12 + 0 3 + 2n = -12 Add '-3' to each side of the equation. 3 + -3 + 2n = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = -12 + -3 2n = -12 + -3 Combine like terms: -12 + -3 = -15 2n = -15 Divide each side by '2'. n = -7.5 Simplifying n = -7.5
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