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Simplifying 6n + -22 = -1(n + 8) Reorder the terms: -22 + 6n = -1(n + 8) Reorder the terms: -22 + 6n = -1(8 + n) -22 + 6n = (8 * -1 + n * -1) -22 + 6n = (-8 + -1n) Solving -22 + 6n = -8 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -22 + 6n + n = -8 + -1n + n Combine like terms: 6n + n = 7n -22 + 7n = -8 + -1n + n Combine like terms: -1n + n = 0 -22 + 7n = -8 + 0 -22 + 7n = -8 Add '22' to each side of the equation. -22 + 22 + 7n = -8 + 22 Combine like terms: -22 + 22 = 0 0 + 7n = -8 + 22 7n = -8 + 22 Combine like terms: -8 + 22 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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