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Simplifying -8(6k + 3) = -312 Reorder the terms: -8(3 + 6k) = -312 (3 * -8 + 6k * -8) = -312 (-24 + -48k) = -312 Solving -24 + -48k = -312 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -48k = -312 + 24 Combine like terms: -24 + 24 = 0 0 + -48k = -312 + 24 -48k = -312 + 24 Combine like terms: -312 + 24 = -288 -48k = -288 Divide each side by '-48'. k = 6 Simplifying k = 6
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