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Simplifying -2(k + 35) = 8k Reorder the terms: -2(35 + k) = 8k (35 * -2 + k * -2) = 8k (-70 + -2k) = 8k Solving -70 + -2k = 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. -70 + -2k + -8k = 8k + -8k Combine like terms: -2k + -8k = -10k -70 + -10k = 8k + -8k Combine like terms: 8k + -8k = 0 -70 + -10k = 0 Add '70' to each side of the equation. -70 + 70 + -10k = 0 + 70 Combine like terms: -70 + 70 = 0 0 + -10k = 0 + 70 -10k = 0 + 70 Combine like terms: 0 + 70 = 70 -10k = 70 Divide each side by '-10'. k = -7 Simplifying k = -7
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