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Simplifying 8(8 + -1k) = 2(k + -5) (8 * 8 + -1k * 8) = 2(k + -5) (64 + -8k) = 2(k + -5) Reorder the terms: 64 + -8k = 2(-5 + k) 64 + -8k = (-5 * 2 + k * 2) 64 + -8k = (-10 + 2k) Solving 64 + -8k = -10 + 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. 64 + -8k + -2k = -10 + 2k + -2k Combine like terms: -8k + -2k = -10k 64 + -10k = -10 + 2k + -2k Combine like terms: 2k + -2k = 0 64 + -10k = -10 + 0 64 + -10k = -10 Add '-64' to each side of the equation. 64 + -64 + -10k = -10 + -64 Combine like terms: 64 + -64 = 0 0 + -10k = -10 + -64 -10k = -10 + -64 Combine like terms: -10 + -64 = -74 -10k = -74 Divide each side by '-10'. k = 7.4 Simplifying k = 7.4
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