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Simplifying 1 + -5(2k + -7) = 116 Reorder the terms: 1 + -5(-7 + 2k) = 116 1 + (-7 * -5 + 2k * -5) = 116 1 + (35 + -10k) = 116 Combine like terms: 1 + 35 = 36 36 + -10k = 116 Solving 36 + -10k = 116 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -10k = 116 + -36 Combine like terms: 36 + -36 = 0 0 + -10k = 116 + -36 -10k = 116 + -36 Combine like terms: 116 + -36 = 80 -10k = 80 Divide each side by '-10'. k = -8 Simplifying k = -8
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