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Simplifying -3(n + 1) = 4 + -4n Reorder the terms: -3(1 + n) = 4 + -4n (1 * -3 + n * -3) = 4 + -4n (-3 + -3n) = 4 + -4n Solving -3 + -3n = 4 + -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. -3 + -3n + 4n = 4 + -4n + 4n Combine like terms: -3n + 4n = 1n -3 + 1n = 4 + -4n + 4n Combine like terms: -4n + 4n = 0 -3 + 1n = 4 + 0 -3 + 1n = 4 Add '3' to each side of the equation. -3 + 3 + 1n = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 1n = 4 + 3 1n = 4 + 3 Combine like terms: 4 + 3 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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