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Simplifying 5 + 5n = 30 + -1(4 + -4n) 5 + 5n = 30 + (4 * -1 + -4n * -1) 5 + 5n = 30 + (-4 + 4n) Combine like terms: 30 + -4 = 26 5 + 5n = 26 + 4n Solving 5 + 5n = 26 + 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 = 26 + 4n + -4n Combine like terms: 5n + -4n = 1n 5 + 1n = 26 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + 1n = 26 + 0 5 + 1n = 26 Add '-5' to each side of the equation. 5 + -5 + 1n = 26 + -5 Combine like terms: 5 + -5 = 0 0 + 1n = 26 + -5 1n = 26 + -5 Combine like terms: 26 + -5 = 21 1n = 21 Divide each side by '1'. n = 21 Simplifying n = 21
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