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Simplifying -7(n + 5) = 6 + -6n Reorder the terms: -7(5 + n) = 6 + -6n (5 * -7 + n * -7) = 6 + -6n (-35 + -7n) = 6 + -6n Solving -35 + -7n = 6 + -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. -35 + -7n + 6n = 6 + -6n + 6n Combine like terms: -7n + 6n = -1n -35 + -1n = 6 + -6n + 6n Combine like terms: -6n + 6n = 0 -35 + -1n = 6 + 0 -35 + -1n = 6 Add '35' to each side of the equation. -35 + 35 + -1n = 6 + 35 Combine like terms: -35 + 35 = 0 0 + -1n = 6 + 35 -1n = 6 + 35 Combine like terms: 6 + 35 = 41 -1n = 41 Divide each side by '-1'. n = -41 Simplifying n = -41
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