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Simplifying 115 = -5(-7 + -2k) 115 = (-7 * -5 + -2k * -5) 115 = (35 + 10k) Solving 115 = 35 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 115 + -10k = 35 + 10k + -10k Combine like terms: 10k + -10k = 0 115 + -10k = 35 + 0 115 + -10k = 35 Add '-115' to each side of the equation. 115 + -115 + -10k = 35 + -115 Combine like terms: 115 + -115 = 0 0 + -10k = 35 + -115 -10k = 35 + -115 Combine like terms: 35 + -115 = -80 -10k = -80 Divide each side by '-10'. k = 8 Simplifying k = 8
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