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Simplifying -3(n + 6) + -7 = 3 + -7n Reorder the terms: -3(6 + n) + -7 = 3 + -7n (6 * -3 + n * -3) + -7 = 3 + -7n (-18 + -3n) + -7 = 3 + -7n Reorder the terms: -18 + -7 + -3n = 3 + -7n Combine like terms: -18 + -7 = -25 -25 + -3n = 3 + -7n Solving -25 + -3n = 3 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -25 + -3n + 7n = 3 + -7n + 7n Combine like terms: -3n + 7n = 4n -25 + 4n = 3 + -7n + 7n Combine like terms: -7n + 7n = 0 -25 + 4n = 3 + 0 -25 + 4n = 3 Add '25' to each side of the equation. -25 + 25 + 4n = 3 + 25 Combine like terms: -25 + 25 = 0 0 + 4n = 3 + 25 4n = 3 + 25 Combine like terms: 3 + 25 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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