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Simplifying -36 + -2n = 2 + 6(1 + -4n) -36 + -2n = 2 + (1 * 6 + -4n * 6) -36 + -2n = 2 + (6 + -24n) Combine like terms: 2 + 6 = 8 -36 + -2n = 8 + -24n Solving -36 + -2n = 8 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -36 + -2n + 24n = 8 + -24n + 24n Combine like terms: -2n + 24n = 22n -36 + 22n = 8 + -24n + 24n Combine like terms: -24n + 24n = 0 -36 + 22n = 8 + 0 -36 + 22n = 8 Add '36' to each side of the equation. -36 + 36 + 22n = 8 + 36 Combine like terms: -36 + 36 = 0 0 + 22n = 8 + 36 22n = 8 + 36 Combine like terms: 8 + 36 = 44 22n = 44 Divide each side by '22'. n = 2 Simplifying n = 2
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