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Simplifying -0.2(n + 10) = 1.8(n + 1.5) Reorder the terms: -0.2(10 + n) = 1.8(n + 1.5) (10 * -0.2 + n * -0.2) = 1.8(n + 1.5) (-2 + -0.2n) = 1.8(n + 1.5) Reorder the terms: -2 + -0.2n = 1.8(1.5 + n) -2 + -0.2n = (1.5 * 1.8 + n * 1.8) -2 + -0.2n = (2.7 + 1.8n) Solving -2 + -0.2n = 2.7 + 1.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.8n' to each side of the equation. -2 + -0.2n + -1.8n = 2.7 + 1.8n + -1.8n Combine like terms: -0.2n + -1.8n = -2n -2 + -2n = 2.7 + 1.8n + -1.8n Combine like terms: 1.8n + -1.8n = 0.0 -2 + -2n = 2.7 + 0.0 -2 + -2n = 2.7 Add '2' to each side of the equation. -2 + 2 + -2n = 2.7 + 2 Combine like terms: -2 + 2 = 0 0 + -2n = 2.7 + 2 -2n = 2.7 + 2 Combine like terms: 2.7 + 2 = 4.7 -2n = 4.7 Divide each side by '-2'. n = -2.35 Simplifying n = -2.35
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