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Simplifying 14 + -3k = -5(-5 + -3k) + 7 14 + -3k = (-5 * -5 + -3k * -5) + 7 14 + -3k = (25 + 15k) + 7 Reorder the terms: 14 + -3k = 25 + 7 + 15k Combine like terms: 25 + 7 = 32 14 + -3k = 32 + 15k Solving 14 + -3k = 32 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 14 + -3k + -15k = 32 + 15k + -15k Combine like terms: -3k + -15k = -18k 14 + -18k = 32 + 15k + -15k Combine like terms: 15k + -15k = 0 14 + -18k = 32 + 0 14 + -18k = 32 Add '-14' to each side of the equation. 14 + -14 + -18k = 32 + -14 Combine like terms: 14 + -14 = 0 0 + -18k = 32 + -14 -18k = 32 + -14 Combine like terms: 32 + -14 = 18 -18k = 18 Divide each side by '-18'. k = -1 Simplifying k = -1
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