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Simplifying -5(n + 3) = 6 + -4n Reorder the terms: -5(3 + n) = 6 + -4n (3 * -5 + n * -5) = 6 + -4n (-15 + -5n) = 6 + -4n Solving -15 + -5n = 6 + -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. -15 + -5n + 4n = 6 + -4n + 4n Combine like terms: -5n + 4n = -1n -15 + -1n = 6 + -4n + 4n Combine like terms: -4n + 4n = 0 -15 + -1n = 6 + 0 -15 + -1n = 6 Add '15' to each side of the equation. -15 + 15 + -1n = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -1n = 6 + 15 -1n = 6 + 15 Combine like terms: 6 + 15 = 21 -1n = 21 Divide each side by '-1'. n = -21 Simplifying n = -21
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