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Simplifying -1k + 3 + -8k + 10 = k + -2 Reorder the terms: 3 + 10 + -1k + -8k = k + -2 Combine like terms: 3 + 10 = 13 13 + -1k + -8k = k + -2 Combine like terms: -1k + -8k = -9k 13 + -9k = k + -2 Reorder the terms: 13 + -9k = -2 + k Solving 13 + -9k = -2 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 13 + -9k + -1k = -2 + k + -1k Combine like terms: -9k + -1k = -10k 13 + -10k = -2 + k + -1k Combine like terms: k + -1k = 0 13 + -10k = -2 + 0 13 + -10k = -2 Add '-13' to each side of the equation. 13 + -13 + -10k = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -10k = -2 + -13 -10k = -2 + -13 Combine like terms: -2 + -13 = -15 -10k = -15 Divide each side by '-10'. k = 1.5 Simplifying k = 1.5
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