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Simplifying 7 + 10k = 12k + 1 Reorder the terms: 7 + 10k = 1 + 12k Solving 7 + 10k = 1 + 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. 7 + 10k + -12k = 1 + 12k + -12k Combine like terms: 10k + -12k = -2k 7 + -2k = 1 + 12k + -12k Combine like terms: 12k + -12k = 0 7 + -2k = 1 + 0 7 + -2k = 1 Add '-7' to each side of the equation. 7 + -7 + -2k = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -2k = 1 + -7 -2k = 1 + -7 Combine like terms: 1 + -7 = -6 -2k = -6 Divide each side by '-2'. k = 3 Simplifying k = 3
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