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Simplifying 5(-5k + -92) = -2(17k + -83) + -14 Reorder the terms: 5(-92 + -5k) = -2(17k + -83) + -14 (-92 * 5 + -5k * 5) = -2(17k + -83) + -14 (-460 + -25k) = -2(17k + -83) + -14 Reorder the terms: -460 + -25k = -2(-83 + 17k) + -14 -460 + -25k = (-83 * -2 + 17k * -2) + -14 -460 + -25k = (166 + -34k) + -14 Reorder the terms: -460 + -25k = 166 + -14 + -34k Combine like terms: 166 + -14 = 152 -460 + -25k = 152 + -34k Solving -460 + -25k = 152 + -34k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '34k' to each side of the equation. -460 + -25k + 34k = 152 + -34k + 34k Combine like terms: -25k + 34k = 9k -460 + 9k = 152 + -34k + 34k Combine like terms: -34k + 34k = 0 -460 + 9k = 152 + 0 -460 + 9k = 152 Add '460' to each side of the equation. -460 + 460 + 9k = 152 + 460 Combine like terms: -460 + 460 = 0 0 + 9k = 152 + 460 9k = 152 + 460 Combine like terms: 152 + 460 = 612 9k = 612 Divide each side by '9'. k = 68 Simplifying k = 68
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