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Simplifying -6n + -3 = 5 + -2(n + -8) Reorder the terms: -3 + -6n = 5 + -2(n + -8) Reorder the terms: -3 + -6n = 5 + -2(-8 + n) -3 + -6n = 5 + (-8 * -2 + n * -2) -3 + -6n = 5 + (16 + -2n) Combine like terms: 5 + 16 = 21 -3 + -6n = 21 + -2n Solving -3 + -6n = 21 + -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. -3 + -6n + 2n = 21 + -2n + 2n Combine like terms: -6n + 2n = -4n -3 + -4n = 21 + -2n + 2n Combine like terms: -2n + 2n = 0 -3 + -4n = 21 + 0 -3 + -4n = 21 Add '3' to each side of the equation. -3 + 3 + -4n = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -4n = 21 + 3 -4n = 21 + 3 Combine like terms: 21 + 3 = 24 -4n = 24 Divide each side by '-4'. n = -6 Simplifying n = -6
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