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Simplifying 2k + 10 + -3k + -3 = k + -7 Reorder the terms: 10 + -3 + 2k + -3k = k + -7 Combine like terms: 10 + -3 = 7 7 + 2k + -3k = k + -7 Combine like terms: 2k + -3k = -1k 7 + -1k = k + -7 Reorder the terms: 7 + -1k = -7 + k Solving 7 + -1k = -7 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 7 + -1k + -1k = -7 + k + -1k Combine like terms: -1k + -1k = -2k 7 + -2k = -7 + k + -1k Combine like terms: k + -1k = 0 7 + -2k = -7 + 0 7 + -2k = -7 Add '-7' to each side of the equation. 7 + -7 + -2k = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -2k = -7 + -7 -2k = -7 + -7 Combine like terms: -7 + -7 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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