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Simplifying -4(4k + 6) = -13 + -5k Reorder the terms: -4(6 + 4k) = -13 + -5k (6 * -4 + 4k * -4) = -13 + -5k (-24 + -16k) = -13 + -5k Solving -24 + -16k = -13 + -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. -24 + -16k + 5k = -13 + -5k + 5k Combine like terms: -16k + 5k = -11k -24 + -11k = -13 + -5k + 5k Combine like terms: -5k + 5k = 0 -24 + -11k = -13 + 0 -24 + -11k = -13 Add '24' to each side of the equation. -24 + 24 + -11k = -13 + 24 Combine like terms: -24 + 24 = 0 0 + -11k = -13 + 24 -11k = -13 + 24 Combine like terms: -13 + 24 = 11 -11k = 11 Divide each side by '-11'. k = -1 Simplifying k = -1
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