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Simplifying -2(8k + 3) = -28 + -5k Reorder the terms: -2(3 + 8k) = -28 + -5k (3 * -2 + 8k * -2) = -28 + -5k (-6 + -16k) = -28 + -5k Solving -6 + -16k = -28 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -6 + -16k + 5k = -28 + -5k + 5k Combine like terms: -16k + 5k = -11k -6 + -11k = -28 + -5k + 5k Combine like terms: -5k + 5k = 0 -6 + -11k = -28 + 0 -6 + -11k = -28 Add '6' to each side of the equation. -6 + 6 + -11k = -28 + 6 Combine like terms: -6 + 6 = 0 0 + -11k = -28 + 6 -11k = -28 + 6 Combine like terms: -28 + 6 = -22 -11k = -22 Divide each side by '-11'. k = 2 Simplifying k = 2
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