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Simplifying 70 = 8k + -70 + 2k Reorder the terms: 70 = -70 + 8k + 2k Combine like terms: 8k + 2k = 10k 70 = -70 + 10k Solving 70 = -70 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 70 + -10k = -70 + 10k + -10k Combine like terms: 10k + -10k = 0 70 + -10k = -70 + 0 70 + -10k = -70 Add '-70' to each side of the equation. 70 + -70 + -10k = -70 + -70 Combine like terms: 70 + -70 = 0 0 + -10k = -70 + -70 -10k = -70 + -70 Combine like terms: -70 + -70 = -140 -10k = -140 Divide each side by '-10'. k = 14 Simplifying k = 14
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