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Simplifying 1 + -10k = -2k + 35 Reorder the terms: 1 + -10k = 35 + -2k Solving 1 + -10k = 35 + -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. 1 + -10k + 2k = 35 + -2k + 2k Combine like terms: -10k + 2k = -8k 1 + -8k = 35 + -2k + 2k Combine like terms: -2k + 2k = 0 1 + -8k = 35 + 0 1 + -8k = 35 Add '-1' to each side of the equation. 1 + -1 + -8k = 35 + -1 Combine like terms: 1 + -1 = 0 0 + -8k = 35 + -1 -8k = 35 + -1 Combine like terms: 35 + -1 = 34 -8k = 34 Divide each side by '-8'. k = -4.25 Simplifying k = -4.25
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