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Simplifying -10k + 10 + -6k = -14k + -12 Reorder the terms: 10 + -10k + -6k = -14k + -12 Combine like terms: -10k + -6k = -16k 10 + -16k = -14k + -12 Reorder the terms: 10 + -16k = -12 + -14k Solving 10 + -16k = -12 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. 10 + -16k + 14k = -12 + -14k + 14k Combine like terms: -16k + 14k = -2k 10 + -2k = -12 + -14k + 14k Combine like terms: -14k + 14k = 0 10 + -2k = -12 + 0 10 + -2k = -12 Add '-10' to each side of the equation. 10 + -10 + -2k = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -2k = -12 + -10 -2k = -12 + -10 Combine like terms: -12 + -10 = -22 -2k = -22 Divide each side by '-2'. k = 11 Simplifying k = 11
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