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Simplifying 29 + 6n = -7n + -8(2 + 4n) 29 + 6n = -7n + (2 * -8 + 4n * -8) 29 + 6n = -7n + (-16 + -32n) Reorder the terms: 29 + 6n = -16 + -7n + -32n Combine like terms: -7n + -32n = -39n 29 + 6n = -16 + -39n Solving 29 + 6n = -16 + -39n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '39n' to each side of the equation. 29 + 6n + 39n = -16 + -39n + 39n Combine like terms: 6n + 39n = 45n 29 + 45n = -16 + -39n + 39n Combine like terms: -39n + 39n = 0 29 + 45n = -16 + 0 29 + 45n = -16 Add '-29' to each side of the equation. 29 + -29 + 45n = -16 + -29 Combine like terms: 29 + -29 = 0 0 + 45n = -16 + -29 45n = -16 + -29 Combine like terms: -16 + -29 = -45 45n = -45 Divide each side by '45'. n = -1 Simplifying n = -1
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