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Simplifying 6n + 3 = -8 + 4(n + 1) Reorder the terms: 3 + 6n = -8 + 4(n + 1) Reorder the terms: 3 + 6n = -8 + 4(1 + n) 3 + 6n = -8 + (1 * 4 + n * 4) 3 + 6n = -8 + (4 + 4n) Combine like terms: -8 + 4 = -4 3 + 6n = -4 + 4n Solving 3 + 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. 3 + 6n + -4n = -4 + 4n + -4n Combine like terms: 6n + -4n = 2n 3 + 2n = -4 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + 2n = -4 + 0 3 + 2n = -4 Add '-3' to each side of the equation. 3 + -3 + 2n = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = -4 + -3 2n = -4 + -3 Combine like terms: -4 + -3 = -7 2n = -7 Divide each side by '2'. n = -3.5 Simplifying n = -3.5
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