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Simplifying -5 + -1(15k + -1) = 2(7K + -16) + -1k Reorder the terms: -5 + -1(-1 + 15k) = 2(7K + -16) + -1k -5 + (-1 * -1 + 15k * -1) = 2(7K + -16) + -1k -5 + (1 + -15k) = 2(7K + -16) + -1k Combine like terms: -5 + 1 = -4 -4 + -15k = 2(7K + -16) + -1k Reorder the terms: -4 + -15k = 2(-16 + 7K) + -1k -4 + -15k = (-16 * 2 + 7K * 2) + -1k -4 + -15k = (-32 + 14K) + -1k Solving -4 + -15k = -32 + 14K + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -4 + -15k + k = -32 + 14K + -1k + k Combine like terms: -15k + k = -14k -4 + -14k = -32 + 14K + -1k + k Combine like terms: -1k + k = 0 -4 + -14k = -32 + 14K + 0 -4 + -14k = -32 + 14K Add '4' to each side of the equation. -4 + 4 + -14k = -32 + 4 + 14K Combine like terms: -4 + 4 = 0 0 + -14k = -32 + 4 + 14K -14k = -32 + 4 + 14K Combine like terms: -32 + 4 = -28 -14k = -28 + 14K Divide each side by '-14'. k = 2 + -1K Simplifying k = 2 + -1K
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