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Simplifying -2(6n + 5) + 6 = -1(n + 4) Reorder the terms: -2(5 + 6n) + 6 = -1(n + 4) (5 * -2 + 6n * -2) + 6 = -1(n + 4) (-10 + -12n) + 6 = -1(n + 4) Reorder the terms: -10 + 6 + -12n = -1(n + 4) Combine like terms: -10 + 6 = -4 -4 + -12n = -1(n + 4) Reorder the terms: -4 + -12n = -1(4 + n) -4 + -12n = (4 * -1 + n * -1) -4 + -12n = (-4 + -1n) Add '4' to each side of the equation. -4 + 4 + -12n = -4 + 4 + -1n Combine like terms: -4 + 4 = 0 0 + -12n = -4 + 4 + -1n -12n = -4 + 4 + -1n Combine like terms: -4 + 4 = 0 -12n = 0 + -1n -12n = -1n Solving -12n = -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -12n + n = -1n + n Combine like terms: -12n + n = -11n -11n = -1n + n Combine like terms: -1n + n = 0 -11n = 0 Divide each side by '-11'. n = 0 Simplifying n = 0
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