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Simplifying 10 + -0.6n = 0.2(n + 14) Reorder the terms: 10 + -0.6n = 0.2(14 + n) 10 + -0.6n = (14 * 0.2 + n * 0.2) 10 + -0.6n = (2.8 + 0.2n) Solving 10 + -0.6n = 2.8 + 0.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.2n' to each side of the equation. 10 + -0.6n + -0.2n = 2.8 + 0.2n + -0.2n Combine like terms: -0.6n + -0.2n = -0.8n 10 + -0.8n = 2.8 + 0.2n + -0.2n Combine like terms: 0.2n + -0.2n = 0.0 10 + -0.8n = 2.8 + 0.0 10 + -0.8n = 2.8 Add '-10' to each side of the equation. 10 + -10 + -0.8n = 2.8 + -10 Combine like terms: 10 + -10 = 0 0 + -0.8n = 2.8 + -10 -0.8n = 2.8 + -10 Combine like terms: 2.8 + -10 = -7.2 -0.8n = -7.2 Divide each side by '-0.8'. n = 9 Simplifying n = 9
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