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Simplifying -1(4 + -2n) + -6 = 22 + -1n (4 * -1 + -2n * -1) + -6 = 22 + -1n (-4 + 2n) + -6 = 22 + -1n Reorder the terms: -4 + -6 + 2n = 22 + -1n Combine like terms: -4 + -6 = -10 -10 + 2n = 22 + -1n Solving -10 + 2n = 22 + -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. -10 + 2n + n = 22 + -1n + n Combine like terms: 2n + n = 3n -10 + 3n = 22 + -1n + n Combine like terms: -1n + n = 0 -10 + 3n = 22 + 0 -10 + 3n = 22 Add '10' to each side of the equation. -10 + 10 + 3n = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 3n = 22 + 10 3n = 22 + 10 Combine like terms: 22 + 10 = 32 3n = 32 Divide each side by '3'. n = 10.66666667 Simplifying n = 10.66666667
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