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Simplifying 7(3n + -6) = -7(6 + 3n) Reorder the terms: 7(-6 + 3n) = -7(6 + 3n) (-6 * 7 + 3n * 7) = -7(6 + 3n) (-42 + 21n) = -7(6 + 3n) -42 + 21n = (6 * -7 + 3n * -7) -42 + 21n = (-42 + -21n) Add '42' to each side of the equation. -42 + 42 + 21n = -42 + 42 + -21n Combine like terms: -42 + 42 = 0 0 + 21n = -42 + 42 + -21n 21n = -42 + 42 + -21n Combine like terms: -42 + 42 = 0 21n = 0 + -21n 21n = -21n Solving 21n = -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. 21n + 21n = -21n + 21n Combine like terms: 21n + 21n = 42n 42n = -21n + 21n Combine like terms: -21n + 21n = 0 42n = 0 Divide each side by '42'. n = 0 Simplifying n = 0
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