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Simplifying -4(n + -12) = -4n + 2(2 + n) Reorder the terms: -4(-12 + n) = -4n + 2(2 + n) (-12 * -4 + n * -4) = -4n + 2(2 + n) (48 + -4n) = -4n + 2(2 + n) 48 + -4n = -4n + (2 * 2 + n * 2) 48 + -4n = -4n + (4 + 2n) Reorder the terms: 48 + -4n = 4 + -4n + 2n Combine like terms: -4n + 2n = -2n 48 + -4n = 4 + -2n Solving 48 + -4n = 4 + -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. 48 + -4n + 2n = 4 + -2n + 2n Combine like terms: -4n + 2n = -2n 48 + -2n = 4 + -2n + 2n Combine like terms: -2n + 2n = 0 48 + -2n = 4 + 0 48 + -2n = 4 Add '-48' to each side of the equation. 48 + -48 + -2n = 4 + -48 Combine like terms: 48 + -48 = 0 0 + -2n = 4 + -48 -2n = 4 + -48 Combine like terms: 4 + -48 = -44 -2n = -44 Divide each side by '-2'. n = 22 Simplifying n = 22
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