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Simplifying 5n + -2 = -6(6 + 2n) Reorder the terms: -2 + 5n = -6(6 + 2n) -2 + 5n = (6 * -6 + 2n * -6) -2 + 5n = (-36 + -12n) Solving -2 + 5n = -36 + -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. -2 + 5n + 12n = -36 + -12n + 12n Combine like terms: 5n + 12n = 17n -2 + 17n = -36 + -12n + 12n Combine like terms: -12n + 12n = 0 -2 + 17n = -36 + 0 -2 + 17n = -36 Add '2' to each side of the equation. -2 + 2 + 17n = -36 + 2 Combine like terms: -2 + 2 = 0 0 + 17n = -36 + 2 17n = -36 + 2 Combine like terms: -36 + 2 = -34 17n = -34 Divide each side by '17'. n = -2 Simplifying n = -2
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