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Simplifying 3(7 + 2n) = 30 + 7(n + -1) (7 * 3 + 2n * 3) = 30 + 7(n + -1) (21 + 6n) = 30 + 7(n + -1) Reorder the terms: 21 + 6n = 30 + 7(-1 + n) 21 + 6n = 30 + (-1 * 7 + n * 7) 21 + 6n = 30 + (-7 + 7n) Combine like terms: 30 + -7 = 23 21 + 6n = 23 + 7n Solving 21 + 6n = 23 + 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 + 6n + -7n = 23 + 7n + -7n Combine like terms: 6n + -7n = -1n 21 + -1n = 23 + 7n + -7n Combine like terms: 7n + -7n = 0 21 + -1n = 23 + 0 21 + -1n = 23 Add '-21' to each side of the equation. 21 + -21 + -1n = 23 + -21 Combine like terms: 21 + -21 = 0 0 + -1n = 23 + -21 -1n = 23 + -21 Combine like terms: 23 + -21 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2
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