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Simplifying 7 + -2(6n + -4) = -4(-3n + 7) + -4 Reorder the terms: 7 + -2(-4 + 6n) = -4(-3n + 7) + -4 7 + (-4 * -2 + 6n * -2) = -4(-3n + 7) + -4 7 + (8 + -12n) = -4(-3n + 7) + -4 Combine like terms: 7 + 8 = 15 15 + -12n = -4(-3n + 7) + -4 Reorder the terms: 15 + -12n = -4(7 + -3n) + -4 15 + -12n = (7 * -4 + -3n * -4) + -4 15 + -12n = (-28 + 12n) + -4 Reorder the terms: 15 + -12n = -28 + -4 + 12n Combine like terms: -28 + -4 = -32 15 + -12n = -32 + 12n Solving 15 + -12n = -32 + 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. 15 + -12n + -12n = -32 + 12n + -12n Combine like terms: -12n + -12n = -24n 15 + -24n = -32 + 12n + -12n Combine like terms: 12n + -12n = 0 15 + -24n = -32 + 0 15 + -24n = -32 Add '-15' to each side of the equation. 15 + -15 + -24n = -32 + -15 Combine like terms: 15 + -15 = 0 0 + -24n = -32 + -15 -24n = -32 + -15 Combine like terms: -32 + -15 = -47 -24n = -47 Divide each side by '-24'. n = 1.958333333 Simplifying n = 1.958333333
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