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Simplifying 10k + -7 = (13 + -5k) Reorder the terms: -7 + 10k = (13 + -5k) Remove parenthesis around (13 + -5k) -7 + 10k = 13 + -5k Solving -7 + 10k = 13 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -7 + 10k + 5k = 13 + -5k + 5k Combine like terms: 10k + 5k = 15k -7 + 15k = 13 + -5k + 5k Combine like terms: -5k + 5k = 0 -7 + 15k = 13 + 0 -7 + 15k = 13 Add '7' to each side of the equation. -7 + 7 + 15k = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 15k = 13 + 7 15k = 13 + 7 Combine like terms: 13 + 7 = 20 15k = 20 Divide each side by '15'. k = 1.333333333 Simplifying k = 1.333333333
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