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Simplifying -7(n + -3) = 7 + -6n Reorder the terms: -7(-3 + n) = 7 + -6n (-3 * -7 + n * -7) = 7 + -6n (21 + -7n) = 7 + -6n Solving 21 + -7n = 7 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 21 + -7n + 6n = 7 + -6n + 6n Combine like terms: -7n + 6n = -1n 21 + -1n = 7 + -6n + 6n Combine like terms: -6n + 6n = 0 21 + -1n = 7 + 0 21 + -1n = 7 Add '-21' to each side of the equation. 21 + -21 + -1n = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -1n = 7 + -21 -1n = 7 + -21 Combine like terms: 7 + -21 = -14 -1n = -14 Divide each side by '-1'. n = 14 Simplifying n = 14
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