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Simplifying -35.64 + 2.3n = 5.1(n + -3.2) Reorder the terms: -35.64 + 2.3n = 5.1(-3.2 + n) -35.64 + 2.3n = (-3.2 * 5.1 + n * 5.1) -35.64 + 2.3n = (-16.32 + 5.1n) Solving -35.64 + 2.3n = -16.32 + 5.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5.1n' to each side of the equation. -35.64 + 2.3n + -5.1n = -16.32 + 5.1n + -5.1n Combine like terms: 2.3n + -5.1n = -2.8n -35.64 + -2.8n = -16.32 + 5.1n + -5.1n Combine like terms: 5.1n + -5.1n = 0.0 -35.64 + -2.8n = -16.32 + 0.0 -35.64 + -2.8n = -16.32 Add '35.64' to each side of the equation. -35.64 + 35.64 + -2.8n = -16.32 + 35.64 Combine like terms: -35.64 + 35.64 = 0.00 0.00 + -2.8n = -16.32 + 35.64 -2.8n = -16.32 + 35.64 Combine like terms: -16.32 + 35.64 = 19.32 -2.8n = 19.32 Divide each side by '-2.8'. n = -6.9 Simplifying n = -6.9
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