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Simplifying -5n + 17 + -15n + 8 = n + -66 Reorder the terms: 17 + 8 + -5n + -15n = n + -66 Combine like terms: 17 + 8 = 25 25 + -5n + -15n = n + -66 Combine like terms: -5n + -15n = -20n 25 + -20n = n + -66 Reorder the terms: 25 + -20n = -66 + n Solving 25 + -20n = -66 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 25 + -20n + -1n = -66 + n + -1n Combine like terms: -20n + -1n = -21n 25 + -21n = -66 + n + -1n Combine like terms: n + -1n = 0 25 + -21n = -66 + 0 25 + -21n = -66 Add '-25' to each side of the equation. 25 + -25 + -21n = -66 + -25 Combine like terms: 25 + -25 = 0 0 + -21n = -66 + -25 -21n = -66 + -25 Combine like terms: -66 + -25 = -91 -21n = -91 Divide each side by '-21'. n = 4.333333333 Simplifying n = 4.333333333
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