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Simplifying 29 + 4n = -7(1 + -5n) + 5n 29 + 4n = (1 * -7 + -5n * -7) + 5n 29 + 4n = (-7 + 35n) + 5n Combine like terms: 35n + 5n = 40n 29 + 4n = -7 + 40n Solving 29 + 4n = -7 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 29 + 4n + -40n = -7 + 40n + -40n Combine like terms: 4n + -40n = -36n 29 + -36n = -7 + 40n + -40n Combine like terms: 40n + -40n = 0 29 + -36n = -7 + 0 29 + -36n = -7 Add '-29' to each side of the equation. 29 + -29 + -36n = -7 + -29 Combine like terms: 29 + -29 = 0 0 + -36n = -7 + -29 -36n = -7 + -29 Combine like terms: -7 + -29 = -36 -36n = -36 Divide each side by '-36'. n = 1 Simplifying n = 1
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