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Simplifying 8(2k + -3) = -6 + 15k Reorder the terms: 8(-3 + 2k) = -6 + 15k (-3 * 8 + 2k * 8) = -6 + 15k (-24 + 16k) = -6 + 15k Solving -24 + 16k = -6 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -24 + 16k + -15k = -6 + 15k + -15k Combine like terms: 16k + -15k = 1k -24 + 1k = -6 + 15k + -15k Combine like terms: 15k + -15k = 0 -24 + 1k = -6 + 0 -24 + 1k = -6 Add '24' to each side of the equation. -24 + 24 + 1k = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 1k = -6 + 24 1k = -6 + 24 Combine like terms: -6 + 24 = 18 1k = 18 Divide each side by '1'. k = 18 Simplifying k = 18
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