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Simplifying 6(2n + -8) = 3n + -3 Reorder the terms: 6(-8 + 2n) = 3n + -3 (-8 * 6 + 2n * 6) = 3n + -3 (-48 + 12n) = 3n + -3 Reorder the terms: -48 + 12n = -3 + 3n Solving -48 + 12n = -3 + 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 + 12n + -3n = -3 + 3n + -3n Combine like terms: 12n + -3n = 9n -48 + 9n = -3 + 3n + -3n Combine like terms: 3n + -3n = 0 -48 + 9n = -3 + 0 -48 + 9n = -3 Add '48' to each side of the equation. -48 + 48 + 9n = -3 + 48 Combine like terms: -48 + 48 = 0 0 + 9n = -3 + 48 9n = -3 + 48 Combine like terms: -3 + 48 = 45 9n = 45 Divide each side by '9'. n = 5 Simplifying n = 5
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