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Simplifying -4(n + 1) = 7 + -3n Reorder the terms: -4(1 + n) = 7 + -3n (1 * -4 + n * -4) = 7 + -3n (-4 + -4n) = 7 + -3n Solving -4 + -4n = 7 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -4 + -4n + 3n = 7 + -3n + 3n Combine like terms: -4n + 3n = -1n -4 + -1n = 7 + -3n + 3n Combine like terms: -3n + 3n = 0 -4 + -1n = 7 + 0 -4 + -1n = 7 Add '4' to each side of the equation. -4 + 4 + -1n = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -1n = 7 + 4 -1n = 7 + 4 Combine like terms: 7 + 4 = 11 -1n = 11 Divide each side by '-1'. n = -11 Simplifying n = -11
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