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Simplifying 4(3 + -5n) + 7(5 + -4n) = 320 (3 * 4 + -5n * 4) + 7(5 + -4n) = 320 (12 + -20n) + 7(5 + -4n) = 320 12 + -20n + (5 * 7 + -4n * 7) = 320 12 + -20n + (35 + -28n) = 320 Reorder the terms: 12 + 35 + -20n + -28n = 320 Combine like terms: 12 + 35 = 47 47 + -20n + -28n = 320 Combine like terms: -20n + -28n = -48n 47 + -48n = 320 Solving 47 + -48n = 320 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -48n = 320 + -47 Combine like terms: 47 + -47 = 0 0 + -48n = 320 + -47 -48n = 320 + -47 Combine like terms: 320 + -47 = 273 -48n = 273 Divide each side by '-48'. n = -5.6875 Simplifying n = -5.6875
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