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Simplifying 6k + -3(5 + 8k) = -141 6k + (5 * -3 + 8k * -3) = -141 6k + (-15 + -24k) = -141 Reorder the terms: -15 + 6k + -24k = -141 Combine like terms: 6k + -24k = -18k -15 + -18k = -141 Solving -15 + -18k = -141 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -18k = -141 + 15 Combine like terms: -15 + 15 = 0 0 + -18k = -141 + 15 -18k = -141 + 15 Combine like terms: -141 + 15 = -126 -18k = -126 Divide each side by '-18'. k = 7 Simplifying k = 7
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