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Simplifying 5(n + -7) + -3n = -25 + 4n Reorder the terms: 5(-7 + n) + -3n = -25 + 4n (-7 * 5 + n * 5) + -3n = -25 + 4n (-35 + 5n) + -3n = -25 + 4n Combine like terms: 5n + -3n = 2n -35 + 2n = -25 + 4n Solving -35 + 2n = -25 + 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. -35 + 2n + -4n = -25 + 4n + -4n Combine like terms: 2n + -4n = -2n -35 + -2n = -25 + 4n + -4n Combine like terms: 4n + -4n = 0 -35 + -2n = -25 + 0 -35 + -2n = -25 Add '35' to each side of the equation. -35 + 35 + -2n = -25 + 35 Combine like terms: -35 + 35 = 0 0 + -2n = -25 + 35 -2n = -25 + 35 Combine like terms: -25 + 35 = 10 -2n = 10 Divide each side by '-2'. n = -5 Simplifying n = -5
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