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Simplifying 10k + 48 = 10k + -2k + -14 Reorder the terms: 48 + 10k = 10k + -2k + -14 Reorder the terms: 48 + 10k = -14 + 10k + -2k Combine like terms: 10k + -2k = 8k 48 + 10k = -14 + 8k Solving 48 + 10k = -14 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 48 + 10k + -8k = -14 + 8k + -8k Combine like terms: 10k + -8k = 2k 48 + 2k = -14 + 8k + -8k Combine like terms: 8k + -8k = 0 48 + 2k = -14 + 0 48 + 2k = -14 Add '-48' to each side of the equation. 48 + -48 + 2k = -14 + -48 Combine like terms: 48 + -48 = 0 0 + 2k = -14 + -48 2k = -14 + -48 Combine like terms: -14 + -48 = -62 2k = -62 Divide each side by '2'. k = -31 Simplifying k = -31
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