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Simplifying 2(2n + -7) = -4(3n + -2) Reorder the terms: 2(-7 + 2n) = -4(3n + -2) (-7 * 2 + 2n * 2) = -4(3n + -2) (-14 + 4n) = -4(3n + -2) Reorder the terms: -14 + 4n = -4(-2 + 3n) -14 + 4n = (-2 * -4 + 3n * -4) -14 + 4n = (8 + -12n) Solving -14 + 4n = 8 + -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 + 4n + 12n = 8 + -12n + 12n Combine like terms: 4n + 12n = 16n -14 + 16n = 8 + -12n + 12n Combine like terms: -12n + 12n = 0 -14 + 16n = 8 + 0 -14 + 16n = 8 Add '14' to each side of the equation. -14 + 14 + 16n = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 16n = 8 + 14 16n = 8 + 14 Combine like terms: 8 + 14 = 22 16n = 22 Divide each side by '16'. n = 1.375 Simplifying n = 1.375
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