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Simplifying -12 + 4n = -5n + 3(6n + 5) Reorder the terms: -12 + 4n = -5n + 3(5 + 6n) -12 + 4n = -5n + (5 * 3 + 6n * 3) -12 + 4n = -5n + (15 + 18n) Reorder the terms: -12 + 4n = 15 + -5n + 18n Combine like terms: -5n + 18n = 13n -12 + 4n = 15 + 13n Solving -12 + 4n = 15 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. -12 + 4n + -13n = 15 + 13n + -13n Combine like terms: 4n + -13n = -9n -12 + -9n = 15 + 13n + -13n Combine like terms: 13n + -13n = 0 -12 + -9n = 15 + 0 -12 + -9n = 15 Add '12' to each side of the equation. -12 + 12 + -9n = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -9n = 15 + 12 -9n = 15 + 12 Combine like terms: 15 + 12 = 27 -9n = 27 Divide each side by '-9'. n = -3 Simplifying n = -3
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