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Simplifying -1n + 3(4n + 4) = -1 + 4(3 + 3n) Reorder the terms: -1n + 3(4 + 4n) = -1 + 4(3 + 3n) -1n + (4 * 3 + 4n * 3) = -1 + 4(3 + 3n) -1n + (12 + 12n) = -1 + 4(3 + 3n) Reorder the terms: 12 + -1n + 12n = -1 + 4(3 + 3n) Combine like terms: -1n + 12n = 11n 12 + 11n = -1 + 4(3 + 3n) 12 + 11n = -1 + (3 * 4 + 3n * 4) 12 + 11n = -1 + (12 + 12n) Combine like terms: -1 + 12 = 11 12 + 11n = 11 + 12n Solving 12 + 11n = 11 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 12 + 11n + -12n = 11 + 12n + -12n Combine like terms: 11n + -12n = -1n 12 + -1n = 11 + 12n + -12n Combine like terms: 12n + -12n = 0 12 + -1n = 11 + 0 12 + -1n = 11 Add '-12' to each side of the equation. 12 + -12 + -1n = 11 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = 11 + -12 -1n = 11 + -12 Combine like terms: 11 + -12 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1
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