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Simplifying -7(2n + -2) = 4(7 + -3n) Reorder the terms: -7(-2 + 2n) = 4(7 + -3n) (-2 * -7 + 2n * -7) = 4(7 + -3n) (14 + -14n) = 4(7 + -3n) 14 + -14n = (7 * 4 + -3n * 4) 14 + -14n = (28 + -12n) Solving 14 + -14n = 28 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 14 + -14n + 12n = 28 + -12n + 12n Combine like terms: -14n + 12n = -2n 14 + -2n = 28 + -12n + 12n Combine like terms: -12n + 12n = 0 14 + -2n = 28 + 0 14 + -2n = 28 Add '-14' to each side of the equation. 14 + -14 + -2n = 28 + -14 Combine like terms: 14 + -14 = 0 0 + -2n = 28 + -14 -2n = 28 + -14 Combine like terms: 28 + -14 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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