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Simplifying -5(6 + -2n) = 4(n + 3) (6 * -5 + -2n * -5) = 4(n + 3) (-30 + 10n) = 4(n + 3) Reorder the terms: -30 + 10n = 4(3 + n) -30 + 10n = (3 * 4 + n * 4) -30 + 10n = (12 + 4n) Solving -30 + 10n = 12 + 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. -30 + 10n + -4n = 12 + 4n + -4n Combine like terms: 10n + -4n = 6n -30 + 6n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -30 + 6n = 12 + 0 -30 + 6n = 12 Add '30' to each side of the equation. -30 + 30 + 6n = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 6n = 12 + 30 6n = 12 + 30 Combine like terms: 12 + 30 = 42 6n = 42 Divide each side by '6'. n = 7 Simplifying n = 7
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