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Simplifying -2(13.5n + -11.53) + 19.96 = 8(-5n + -19.16) Reorder the terms: -2(-11.53 + 13.5n) + 19.96 = 8(-5n + -19.16) (-11.53 * -2 + 13.5n * -2) + 19.96 = 8(-5n + -19.16) (23.06 + -27n) + 19.96 = 8(-5n + -19.16) Reorder the terms: 23.06 + 19.96 + -27n = 8(-5n + -19.16) Combine like terms: 23.06 + 19.96 = 43.02 43.02 + -27n = 8(-5n + -19.16) Reorder the terms: 43.02 + -27n = 8(-19.16 + -5n) 43.02 + -27n = (-19.16 * 8 + -5n * 8) 43.02 + -27n = (-153.28 + -40n) Solving 43.02 + -27n = -153.28 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 43.02 + -27n + 40n = -153.28 + -40n + 40n Combine like terms: -27n + 40n = 13n 43.02 + 13n = -153.28 + -40n + 40n Combine like terms: -40n + 40n = 0 43.02 + 13n = -153.28 + 0 43.02 + 13n = -153.28 Add '-43.02' to each side of the equation. 43.02 + -43.02 + 13n = -153.28 + -43.02 Combine like terms: 43.02 + -43.02 = 0.00 0.00 + 13n = -153.28 + -43.02 13n = -153.28 + -43.02 Combine like terms: -153.28 + -43.02 = -196.3 13n = -196.3 Divide each side by '13'. n = -15.1 Simplifying n = -15.1
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