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Simplifying -1(6 + n) = 30 + -7n (6 * -1 + n * -1) = 30 + -7n (-6 + -1n) = 30 + -7n Solving -6 + -1n = 30 + -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. -6 + -1n + 7n = 30 + -7n + 7n Combine like terms: -1n + 7n = 6n -6 + 6n = 30 + -7n + 7n Combine like terms: -7n + 7n = 0 -6 + 6n = 30 + 0 -6 + 6n = 30 Add '6' to each side of the equation. -6 + 6 + 6n = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 6n = 30 + 6 6n = 30 + 6 Combine like terms: 30 + 6 = 36 6n = 36 Divide each side by '6'. n = 6 Simplifying n = 6
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