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Simplifying 29 + 7n = 5 + 3(-2n + 8) Reorder the terms: 29 + 7n = 5 + 3(8 + -2n) 29 + 7n = 5 + (8 * 3 + -2n * 3) 29 + 7n = 5 + (24 + -6n) Combine like terms: 5 + 24 = 29 29 + 7n = 29 + -6n Add '-29' to each side of the equation. 29 + -29 + 7n = 29 + -29 + -6n Combine like terms: 29 + -29 = 0 0 + 7n = 29 + -29 + -6n 7n = 29 + -29 + -6n Combine like terms: 29 + -29 = 0 7n = 0 + -6n 7n = -6n Solving 7n = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 7n + 6n = -6n + 6n Combine like terms: 7n + 6n = 13n 13n = -6n + 6n Combine like terms: -6n + 6n = 0 13n = 0 Divide each side by '13'. n = 0 Simplifying n = 0
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