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Simplifying -23 + 10k = 5k + 7(k + -1) Reorder the terms: -23 + 10k = 5k + 7(-1 + k) -23 + 10k = 5k + (-1 * 7 + k * 7) -23 + 10k = 5k + (-7 + 7k) Reorder the terms: -23 + 10k = -7 + 5k + 7k Combine like terms: 5k + 7k = 12k -23 + 10k = -7 + 12k Solving -23 + 10k = -7 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -23 + 10k + -12k = -7 + 12k + -12k Combine like terms: 10k + -12k = -2k -23 + -2k = -7 + 12k + -12k Combine like terms: 12k + -12k = 0 -23 + -2k = -7 + 0 -23 + -2k = -7 Add '23' to each side of the equation. -23 + 23 + -2k = -7 + 23 Combine like terms: -23 + 23 = 0 0 + -2k = -7 + 23 -2k = -7 + 23 Combine like terms: -7 + 23 = 16 -2k = 16 Divide each side by '-2'. k = -8 Simplifying k = -8
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