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Simplifying -5(3 + 4n) = 30 + -5n (3 * -5 + 4n * -5) = 30 + -5n (-15 + -20n) = 30 + -5n Solving -15 + -20n = 30 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -15 + -20n + 5n = 30 + -5n + 5n Combine like terms: -20n + 5n = -15n -15 + -15n = 30 + -5n + 5n Combine like terms: -5n + 5n = 0 -15 + -15n = 30 + 0 -15 + -15n = 30 Add '15' to each side of the equation. -15 + 15 + -15n = 30 + 15 Combine like terms: -15 + 15 = 0 0 + -15n = 30 + 15 -15n = 30 + 15 Combine like terms: 30 + 15 = 45 -15n = 45 Divide each side by '-15'. n = -3 Simplifying n = -3
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