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Simplifying 6(n + -8) = -3(n + -8) Reorder the terms: 6(-8 + n) = -3(n + -8) (-8 * 6 + n * 6) = -3(n + -8) (-48 + 6n) = -3(n + -8) Reorder the terms: -48 + 6n = -3(-8 + n) -48 + 6n = (-8 * -3 + n * -3) -48 + 6n = (24 + -3n) Solving -48 + 6n = 24 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -48 + 6n + 3n = 24 + -3n + 3n Combine like terms: 6n + 3n = 9n -48 + 9n = 24 + -3n + 3n Combine like terms: -3n + 3n = 0 -48 + 9n = 24 + 0 -48 + 9n = 24 Add '48' to each side of the equation. -48 + 48 + 9n = 24 + 48 Combine like terms: -48 + 48 = 0 0 + 9n = 24 + 48 9n = 24 + 48 Combine like terms: 24 + 48 = 72 9n = 72 Divide each side by '9'. n = 8 Simplifying n = 8
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