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Simplifying 4(n + -3) = 2 + 2n Reorder the terms: 4(-3 + n) = 2 + 2n (-3 * 4 + n * 4) = 2 + 2n (-12 + 4n) = 2 + 2n Solving -12 + 4n = 2 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -12 + 4n + -2n = 2 + 2n + -2n Combine like terms: 4n + -2n = 2n -12 + 2n = 2 + 2n + -2n Combine like terms: 2n + -2n = 0 -12 + 2n = 2 + 0 -12 + 2n = 2 Add '12' to each side of the equation. -12 + 12 + 2n = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2n = 2 + 12 2n = 2 + 12 Combine like terms: 2 + 12 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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