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Simplifying 4n + 6 + -29 = 2(n + 3) Reorder the terms: 6 + -29 + 4n = 2(n + 3) Combine like terms: 6 + -29 = -23 -23 + 4n = 2(n + 3) Reorder the terms: -23 + 4n = 2(3 + n) -23 + 4n = (3 * 2 + n * 2) -23 + 4n = (6 + 2n) Solving -23 + 4n = 6 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -23 + 4n + -2n = 6 + 2n + -2n Combine like terms: 4n + -2n = 2n -23 + 2n = 6 + 2n + -2n Combine like terms: 2n + -2n = 0 -23 + 2n = 6 + 0 -23 + 2n = 6 Add '23' to each side of the equation. -23 + 23 + 2n = 6 + 23 Combine like terms: -23 + 23 = 0 0 + 2n = 6 + 23 2n = 6 + 23 Combine like terms: 6 + 23 = 29 2n = 29 Divide each side by '2'. n = 14.5 Simplifying n = 14.5
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