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Simplifying 7(7 + -6n) = -33 + -1n (7 * 7 + -6n * 7) = -33 + -1n (49 + -42n) = -33 + -1n Solving 49 + -42n = -33 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 49 + -42n + n = -33 + -1n + n Combine like terms: -42n + n = -41n 49 + -41n = -33 + -1n + n Combine like terms: -1n + n = 0 49 + -41n = -33 + 0 49 + -41n = -33 Add '-49' to each side of the equation. 49 + -49 + -41n = -33 + -49 Combine like terms: 49 + -49 = 0 0 + -41n = -33 + -49 -41n = -33 + -49 Combine like terms: -33 + -49 = -82 -41n = -82 Divide each side by '-41'. n = 2 Simplifying n = 2
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