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Simplifying 5.0n + 17.5 + -4n = 13(n + -2) * 19.7 Reorder the terms: 17.5 + 5.0n + -4n = 13(n + -2) * 19.7 Combine like terms: 5.0n + -4n = 1n 17.5 + 1n = 13(n + -2) * 19.7 Reorder the terms: 17.5 + 1n = 13(-2 + n) * 19.7 Reorder the terms for easier multiplication: 17.5 + 1n = 13 * 19.7(-2 + n) Multiply 13 * 19.7 17.5 + 1n = 256.1(-2 + n) 17.5 + 1n = (-2 * 256.1 + n * 256.1) 17.5 + 1n = (-512.2 + 256.1n) Solving 17.5 + 1n = -512.2 + 256.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-256.1n' to each side of the equation. 17.5 + 1n + -256.1n = -512.2 + 256.1n + -256.1n Combine like terms: 1n + -256.1n = -255.1n 17.5 + -255.1n = -512.2 + 256.1n + -256.1n Combine like terms: 256.1n + -256.1n = 0.0 17.5 + -255.1n = -512.2 + 0.0 17.5 + -255.1n = -512.2 Add '-17.5' to each side of the equation. 17.5 + -17.5 + -255.1n = -512.2 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + -255.1n = -512.2 + -17.5 -255.1n = -512.2 + -17.5 Combine like terms: -512.2 + -17.5 = -529.7 -255.1n = -529.7 Divide each side by '-255.1'. n = 2.076440612 Simplifying n = 2.076440612
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