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Simplifying 2(3n + -8) = -36 + 2n Reorder the terms: 2(-8 + 3n) = -36 + 2n (-8 * 2 + 3n * 2) = -36 + 2n (-16 + 6n) = -36 + 2n Solving -16 + 6n = -36 + 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. -16 + 6n + -2n = -36 + 2n + -2n Combine like terms: 6n + -2n = 4n -16 + 4n = -36 + 2n + -2n Combine like terms: 2n + -2n = 0 -16 + 4n = -36 + 0 -16 + 4n = -36 Add '16' to each side of the equation. -16 + 16 + 4n = -36 + 16 Combine like terms: -16 + 16 = 0 0 + 4n = -36 + 16 4n = -36 + 16 Combine like terms: -36 + 16 = -20 4n = -20 Divide each side by '4'. n = -5 Simplifying n = -5
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