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Simplifying -4(n + 2) = 2 + -3n Reorder the terms: -4(2 + n) = 2 + -3n (2 * -4 + n * -4) = 2 + -3n (-8 + -4n) = 2 + -3n Solving -8 + -4n = 2 + -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. -8 + -4n + 3n = 2 + -3n + 3n Combine like terms: -4n + 3n = -1n -8 + -1n = 2 + -3n + 3n Combine like terms: -3n + 3n = 0 -8 + -1n = 2 + 0 -8 + -1n = 2 Add '8' to each side of the equation. -8 + 8 + -1n = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -1n = 2 + 8 -1n = 2 + 8 Combine like terms: 2 + 8 = 10 -1n = 10 Divide each side by '-1'. n = -10 Simplifying n = -10
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