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Simplifying -14 + -2k = -8 + -5(-8 + 5k) -14 + -2k = -8 + (-8 * -5 + 5k * -5) -14 + -2k = -8 + (40 + -25k) Combine like terms: -8 + 40 = 32 -14 + -2k = 32 + -25k Solving -14 + -2k = 32 + -25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25k' to each side of the equation. -14 + -2k + 25k = 32 + -25k + 25k Combine like terms: -2k + 25k = 23k -14 + 23k = 32 + -25k + 25k Combine like terms: -25k + 25k = 0 -14 + 23k = 32 + 0 -14 + 23k = 32 Add '14' to each side of the equation. -14 + 14 + 23k = 32 + 14 Combine like terms: -14 + 14 = 0 0 + 23k = 32 + 14 23k = 32 + 14 Combine like terms: 32 + 14 = 46 23k = 46 Divide each side by '23'. k = 2 Simplifying k = 2
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