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Simplifying -1(8k + 7) = -7 + 2k Reorder the terms: -1(7 + 8k) = -7 + 2k (7 * -1 + 8k * -1) = -7 + 2k (-7 + -8k) = -7 + 2k Add '7' to each side of the equation. -7 + 7 + -8k = -7 + 7 + 2k Combine like terms: -7 + 7 = 0 0 + -8k = -7 + 7 + 2k -8k = -7 + 7 + 2k Combine like terms: -7 + 7 = 0 -8k = 0 + 2k -8k = 2k Solving -8k = 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. -8k + -2k = 2k + -2k Combine like terms: -8k + -2k = -10k -10k = 2k + -2k Combine like terms: 2k + -2k = 0 -10k = 0 Divide each side by '-10'. k = 0.0 Simplifying k = 0.0
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