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Simplifying -7 + -2(k + -1) = 35 + 8k Reorder the terms: -7 + -2(-1 + k) = 35 + 8k -7 + (-1 * -2 + k * -2) = 35 + 8k -7 + (2 + -2k) = 35 + 8k Combine like terms: -7 + 2 = -5 -5 + -2k = 35 + 8k Solving -5 + -2k = 35 + 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. -5 + -2k + -8k = 35 + 8k + -8k Combine like terms: -2k + -8k = -10k -5 + -10k = 35 + 8k + -8k Combine like terms: 8k + -8k = 0 -5 + -10k = 35 + 0 -5 + -10k = 35 Add '5' to each side of the equation. -5 + 5 + -10k = 35 + 5 Combine like terms: -5 + 5 = 0 0 + -10k = 35 + 5 -10k = 35 + 5 Combine like terms: 35 + 5 = 40 -10k = 40 Divide each side by '-10'. k = -4 Simplifying k = -4
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