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Simplifying 7 + -6n + 3n = 35 + -82 Combine like terms: -6n + 3n = -3n 7 + -3n = 35 + -82 Combine like terms: 35 + -82 = -47 7 + -3n = -47 Solving 7 + -3n = -47 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3n = -47 + -7 Combine like terms: 7 + -7 = 0 0 + -3n = -47 + -7 -3n = -47 + -7 Combine like terms: -47 + -7 = -54 -3n = -54 Divide each side by '-3'. n = 18 Simplifying n = 18
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