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