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Simplifying 36 + 5n = 7(1 + 4n) + 6n 36 + 5n = (1 * 7 + 4n * 7) + 6n 36 + 5n = (7 + 28n) + 6n Combine like terms: 28n + 6n = 34n 36 + 5n = 7 + 34n Solving 36 + 5n = 7 + 34n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34n' to each side of the equation. 36 + 5n + -34n = 7 + 34n + -34n Combine like terms: 5n + -34n = -29n 36 + -29n = 7 + 34n + -34n Combine like terms: 34n + -34n = 0 36 + -29n = 7 + 0 36 + -29n = 7 Add '-36' to each side of the equation. 36 + -36 + -29n = 7 + -36 Combine like terms: 36 + -36 = 0 0 + -29n = 7 + -36 -29n = 7 + -36 Combine like terms: 7 + -36 = -29 -29n = -29 Divide each side by '-29'. n = 1 Simplifying n = 1
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