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Simplifying 2k + 7(2k + 5) = -93 Reorder the terms: 2k + 7(5 + 2k) = -93 2k + (5 * 7 + 2k * 7) = -93 2k + (35 + 14k) = -93 Reorder the terms: 35 + 2k + 14k = -93 Combine like terms: 2k + 14k = 16k 35 + 16k = -93 Solving 35 + 16k = -93 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 16k = -93 + -35 Combine like terms: 35 + -35 = 0 0 + 16k = -93 + -35 16k = -93 + -35 Combine like terms: -93 + -35 = -128 16k = -128 Divide each side by '16'. k = -8 Simplifying k = -8
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