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Simplifying 8 + 8k = -7(-5 + -5k) 8 + 8k = (-5 * -7 + -5k * -7) 8 + 8k = (35 + 35k) Solving 8 + 8k = 35 + 35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35k' to each side of the equation. 8 + 8k + -35k = 35 + 35k + -35k Combine like terms: 8k + -35k = -27k 8 + -27k = 35 + 35k + -35k Combine like terms: 35k + -35k = 0 8 + -27k = 35 + 0 8 + -27k = 35 Add '-8' to each side of the equation. 8 + -8 + -27k = 35 + -8 Combine like terms: 8 + -8 = 0 0 + -27k = 35 + -8 -27k = 35 + -8 Combine like terms: 35 + -8 = 27 -27k = 27 Divide each side by '-27'. k = -1 Simplifying k = -1
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