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Simplifying 5n + 5 = -2n + 6(n + 2) Reorder the terms: 5 + 5n = -2n + 6(n + 2) Reorder the terms: 5 + 5n = -2n + 6(2 + n) 5 + 5n = -2n + (2 * 6 + n * 6) 5 + 5n = -2n + (12 + 6n) Reorder the terms: 5 + 5n = 12 + -2n + 6n Combine like terms: -2n + 6n = 4n 5 + 5n = 12 + 4n Solving 5 + 5n = 12 + 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 = 12 + 4n + -4n Combine like terms: 5n + -4n = 1n 5 + 1n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + 1n = 12 + 0 5 + 1n = 12 Add '-5' to each side of the equation. 5 + -5 + 1n = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1n = 12 + -5 1n = 12 + -5 Combine like terms: 12 + -5 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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