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Simplifying 6 + 6(n + -8) = -18 + -6n Reorder the terms: 6 + 6(-8 + n) = -18 + -6n 6 + (-8 * 6 + n * 6) = -18 + -6n 6 + (-48 + 6n) = -18 + -6n Combine like terms: 6 + -48 = -42 -42 + 6n = -18 + -6n Solving -42 + 6n = -18 + -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. -42 + 6n + 6n = -18 + -6n + 6n Combine like terms: 6n + 6n = 12n -42 + 12n = -18 + -6n + 6n Combine like terms: -6n + 6n = 0 -42 + 12n = -18 + 0 -42 + 12n = -18 Add '42' to each side of the equation. -42 + 42 + 12n = -18 + 42 Combine like terms: -42 + 42 = 0 0 + 12n = -18 + 42 12n = -18 + 42 Combine like terms: -18 + 42 = 24 12n = 24 Divide each side by '12'. n = 2 Simplifying n = 2
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