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Simplifying 0.5n + 4 = -1.5n + -18 Reorder the terms: 4 + 0.5n = -1.5n + -18 Reorder the terms: 4 + 0.5n = -18 + -1.5n Solving 4 + 0.5n = -18 + -1.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1.5n' to each side of the equation. 4 + 0.5n + 1.5n = -18 + -1.5n + 1.5n Combine like terms: 0.5n + 1.5n = 2n 4 + 2n = -18 + -1.5n + 1.5n Combine like terms: -1.5n + 1.5n = 0.0 4 + 2n = -18 + 0.0 4 + 2n = -18 Add '-4' to each side of the equation. 4 + -4 + 2n = -18 + -4 Combine like terms: 4 + -4 = 0 0 + 2n = -18 + -4 2n = -18 + -4 Combine like terms: -18 + -4 = -22 2n = -22 Divide each side by '2'. n = -11 Simplifying n = -11
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