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Simplifying 6(7n + -7) = 36 + 3n Reorder the terms: 6(-7 + 7n) = 36 + 3n (-7 * 6 + 7n * 6) = 36 + 3n (-42 + 42n) = 36 + 3n Solving -42 + 42n = 36 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -42 + 42n + -3n = 36 + 3n + -3n Combine like terms: 42n + -3n = 39n -42 + 39n = 36 + 3n + -3n Combine like terms: 3n + -3n = 0 -42 + 39n = 36 + 0 -42 + 39n = 36 Add '42' to each side of the equation. -42 + 42 + 39n = 36 + 42 Combine like terms: -42 + 42 = 0 0 + 39n = 36 + 42 39n = 36 + 42 Combine like terms: 36 + 42 = 78 39n = 78 Divide each side by '39'. n = 2 Simplifying n = 2
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