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Simplifying 7(n + 3) = 7(-7 + -1n) Reorder the terms: 7(3 + n) = 7(-7 + -1n) (3 * 7 + n * 7) = 7(-7 + -1n) (21 + 7n) = 7(-7 + -1n) 21 + 7n = (-7 * 7 + -1n * 7) 21 + 7n = (-49 + -7n) Solving 21 + 7n = -49 + -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. 21 + 7n + 7n = -49 + -7n + 7n Combine like terms: 7n + 7n = 14n 21 + 14n = -49 + -7n + 7n Combine like terms: -7n + 7n = 0 21 + 14n = -49 + 0 21 + 14n = -49 Add '-21' to each side of the equation. 21 + -21 + 14n = -49 + -21 Combine like terms: 21 + -21 = 0 0 + 14n = -49 + -21 14n = -49 + -21 Combine like terms: -49 + -21 = -70 14n = -70 Divide each side by '14'. n = -5 Simplifying n = -5
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