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Simplifying -5(n + 12) = 4(n + 3) Reorder the terms: -5(12 + n) = 4(n + 3) (12 * -5 + n * -5) = 4(n + 3) (-60 + -5n) = 4(n + 3) Reorder the terms: -60 + -5n = 4(3 + n) -60 + -5n = (3 * 4 + n * 4) -60 + -5n = (12 + 4n) Solving -60 + -5n = 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. -60 + -5n + -4n = 12 + 4n + -4n Combine like terms: -5n + -4n = -9n -60 + -9n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -60 + -9n = 12 + 0 -60 + -9n = 12 Add '60' to each side of the equation. -60 + 60 + -9n = 12 + 60 Combine like terms: -60 + 60 = 0 0 + -9n = 12 + 60 -9n = 12 + 60 Combine like terms: 12 + 60 = 72 -9n = 72 Divide each side by '-9'. n = -8 Simplifying n = -8
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