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Simplifying 7n + 7(-7n + 6) = -36 + -3n Reorder the terms: 7n + 7(6 + -7n) = -36 + -3n 7n + (6 * 7 + -7n * 7) = -36 + -3n 7n + (42 + -49n) = -36 + -3n Reorder the terms: 42 + 7n + -49n = -36 + -3n Combine like terms: 7n + -49n = -42n 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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