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Simplifying -50 = -12(-12n + 4) + -2(1 + 6n) Reorder the terms: -50 = -12(4 + -12n) + -2(1 + 6n) -50 = (4 * -12 + -12n * -12) + -2(1 + 6n) -50 = (-48 + 144n) + -2(1 + 6n) -50 = -48 + 144n + (1 * -2 + 6n * -2) -50 = -48 + 144n + (-2 + -12n) Reorder the terms: -50 = -48 + -2 + 144n + -12n Combine like terms: -48 + -2 = -50 -50 = -50 + 144n + -12n Combine like terms: 144n + -12n = 132n -50 = -50 + 132n Add '50' to each side of the equation. -50 + 50 = -50 + 50 + 132n Combine like terms: -50 + 50 = 0 0 = -50 + 50 + 132n Combine like terms: -50 + 50 = 0 0 = 0 + 132n 0 = 132n Solving 0 = 132n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-132n' to each side of the equation. 0 + -132n = 132n + -132n Remove the zero: -132n = 132n + -132n Combine like terms: 132n + -132n = 0 -132n = 0 Divide each side by '-132'. n = 0 Simplifying n = 0
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