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Simplifying -6(n + 3) = -2 + 4(1 + n) Reorder the terms: -6(3 + n) = -2 + 4(1 + n) (3 * -6 + n * -6) = -2 + 4(1 + n) (-18 + -6n) = -2 + 4(1 + n) -18 + -6n = -2 + (1 * 4 + n * 4) -18 + -6n = -2 + (4 + 4n) Combine like terms: -2 + 4 = 2 -18 + -6n = 2 + 4n Solving -18 + -6n = 2 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -18 + -6n + -4n = 2 + 4n + -4n Combine like terms: -6n + -4n = -10n -18 + -10n = 2 + 4n + -4n Combine like terms: 4n + -4n = 0 -18 + -10n = 2 + 0 -18 + -10n = 2 Add '18' to each side of the equation. -18 + 18 + -10n = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -10n = 2 + 18 -10n = 2 + 18 Combine like terms: 2 + 18 = 20 -10n = 20 Divide each side by '-10'. n = -2 Simplifying n = -2
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