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Simplifying 5(k + -5) + -4(k + 2) + -14 = -39 Reorder the terms: 5(-5 + k) + -4(k + 2) + -14 = -39 (-5 * 5 + k * 5) + -4(k + 2) + -14 = -39 (-25 + 5k) + -4(k + 2) + -14 = -39 Reorder the terms: -25 + 5k + -4(2 + k) + -14 = -39 -25 + 5k + (2 * -4 + k * -4) + -14 = -39 -25 + 5k + (-8 + -4k) + -14 = -39 Reorder the terms: -25 + -8 + -14 + 5k + -4k = -39 Combine like terms: -25 + -8 = -33 -33 + -14 + 5k + -4k = -39 Combine like terms: -33 + -14 = -47 -47 + 5k + -4k = -39 Combine like terms: 5k + -4k = 1k -47 + 1k = -39 Solving -47 + 1k = -39 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 1k = -39 + 47 Combine like terms: -47 + 47 = 0 0 + 1k = -39 + 47 1k = -39 + 47 Combine like terms: -39 + 47 = 8 1k = 8 Divide each side by '1'. k = 8 Simplifying k = 8
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