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Simplifying -23 + 4k = -7(2k + 8) Reorder the terms: -23 + 4k = -7(8 + 2k) -23 + 4k = (8 * -7 + 2k * -7) -23 + 4k = (-56 + -14k) Solving -23 + 4k = -56 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -23 + 4k + 14k = -56 + -14k + 14k Combine like terms: 4k + 14k = 18k -23 + 18k = -56 + -14k + 14k Combine like terms: -14k + 14k = 0 -23 + 18k = -56 + 0 -23 + 18k = -56 Add '23' to each side of the equation. -23 + 23 + 18k = -56 + 23 Combine like terms: -23 + 23 = 0 0 + 18k = -56 + 23 18k = -56 + 23 Combine like terms: -56 + 23 = -33 18k = -33 Divide each side by '18'. k = -1.833333333 Simplifying k = -1.833333333
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