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Simplifying 7(3n + -3) = 42n Reorder the terms: 7(-3 + 3n) = 42n (-3 * 7 + 3n * 7) = 42n (-21 + 21n) = 42n Solving -21 + 21n = 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. -21 + 21n + -42n = 42n + -42n Combine like terms: 21n + -42n = -21n -21 + -21n = 42n + -42n Combine like terms: 42n + -42n = 0 -21 + -21n = 0 Add '21' to each side of the equation. -21 + 21 + -21n = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -21n = 0 + 21 -21n = 0 + 21 Combine like terms: 0 + 21 = 21 -21n = 21 Divide each side by '-21'. n = -1 Simplifying n = -1
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