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Simplifying 10k + -7 = 2(13 + -3k) Reorder the terms: -7 + 10k = 2(13 + -3k) -7 + 10k = (13 * 2 + -3k * 2) -7 + 10k = (26 + -6k) Solving -7 + 10k = 26 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -7 + 10k + 6k = 26 + -6k + 6k Combine like terms: 10k + 6k = 16k -7 + 16k = 26 + -6k + 6k Combine like terms: -6k + 6k = 0 -7 + 16k = 26 + 0 -7 + 16k = 26 Add '7' to each side of the equation. -7 + 7 + 16k = 26 + 7 Combine like terms: -7 + 7 = 0 0 + 16k = 26 + 7 16k = 26 + 7 Combine like terms: 26 + 7 = 33 16k = 33 Divide each side by '16'. k = 2.0625 Simplifying k = 2.0625
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