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Simplifying 6(-8 + 2n) = 12 + -3n (-8 * 6 + 2n * 6) = 12 + -3n (-48 + 12n) = 12 + -3n Solving -48 + 12n = 12 + -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 = 12 + -3n + 3n Combine like terms: 12n + 3n = 15n -48 + 15n = 12 + -3n + 3n Combine like terms: -3n + 3n = 0 -48 + 15n = 12 + 0 -48 + 15n = 12 Add '48' to each side of the equation. -48 + 48 + 15n = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 15n = 12 + 48 15n = 12 + 48 Combine like terms: 12 + 48 = 60 15n = 60 Divide each side by '15'. n = 4 Simplifying n = 4
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