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Simplifying 30 + -10k = 22 + -2k Solving 30 + -10k = 22 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 30 + -10k + 2k = 22 + -2k + 2k Combine like terms: -10k + 2k = -8k 30 + -8k = 22 + -2k + 2k Combine like terms: -2k + 2k = 0 30 + -8k = 22 + 0 30 + -8k = 22 Add '-30' to each side of the equation. 30 + -30 + -8k = 22 + -30 Combine like terms: 30 + -30 = 0 0 + -8k = 22 + -30 -8k = 22 + -30 Combine like terms: 22 + -30 = -8 -8k = -8 Divide each side by '-8'. k = 1 Simplifying k = 1
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