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Simplifying n + 2.2n + 3.5 = 5(n + -6.5) Reorder the terms: 3.5 + n + 2.2n = 5(n + -6.5) Combine like terms: n + 2.2n = 3.2n 3.5 + 3.2n = 5(n + -6.5) Reorder the terms: 3.5 + 3.2n = 5(-6.5 + n) 3.5 + 3.2n = (-6.5 * 5 + n * 5) 3.5 + 3.2n = (-32.5 + 5n) Solving 3.5 + 3.2n = -32.5 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 3.5 + 3.2n + -5n = -32.5 + 5n + -5n Combine like terms: 3.2n + -5n = -1.8n 3.5 + -1.8n = -32.5 + 5n + -5n Combine like terms: 5n + -5n = 0 3.5 + -1.8n = -32.5 + 0 3.5 + -1.8n = -32.5 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -1.8n = -32.5 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -1.8n = -32.5 + -3.5 -1.8n = -32.5 + -3.5 Combine like terms: -32.5 + -3.5 = -36 -1.8n = -36 Divide each side by '-1.8'. n = 20 Simplifying n = 20
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