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