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Simplifying 5 + -5n = 2 + -1(5 + 4n) 5 + -5n = 2 + (5 * -1 + 4n * -1) 5 + -5n = 2 + (-5 + -4n) Combine like terms: 2 + -5 = -3 5 + -5n = -3 + -4n Solving 5 + -5n = -3 + -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. 5 + -5n + 4n = -3 + -4n + 4n Combine like terms: -5n + 4n = -1n 5 + -1n = -3 + -4n + 4n Combine like terms: -4n + 4n = 0 5 + -1n = -3 + 0 5 + -1n = -3 Add '-5' to each side of the equation. 5 + -5 + -1n = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = -3 + -5 -1n = -3 + -5 Combine like terms: -3 + -5 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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