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Simplifying -4(5n + -7) + -1n = -23 + -4n Reorder the terms: -4(-7 + 5n) + -1n = -23 + -4n (-7 * -4 + 5n * -4) + -1n = -23 + -4n (28 + -20n) + -1n = -23 + -4n Combine like terms: -20n + -1n = -21n 28 + -21n = -23 + -4n Solving 28 + -21n = -23 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 28 + -21n + 4n = -23 + -4n + 4n Combine like terms: -21n + 4n = -17n 28 + -17n = -23 + -4n + 4n Combine like terms: -4n + 4n = 0 28 + -17n = -23 + 0 28 + -17n = -23 Add '-28' to each side of the equation. 28 + -28 + -17n = -23 + -28 Combine like terms: 28 + -28 = 0 0 + -17n = -23 + -28 -17n = -23 + -28 Combine like terms: -23 + -28 = -51 -17n = -51 Divide each side by '-17'. n = 3 Simplifying n = 3
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