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Simplifying -6(3n + 7) = -18 + -6n Reorder the terms: -6(7 + 3n) = -18 + -6n (7 * -6 + 3n * -6) = -18 + -6n (-42 + -18n) = -18 + -6n Solving -42 + -18n = -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 + -18n + 6n = -18 + -6n + 6n Combine like terms: -18n + 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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