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Simplifying -7(1 + -5k) = -147 (1 * -7 + -5k * -7) = -147 (-7 + 35k) = -147 Solving -7 + 35k = -147 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 35k = -147 + 7 Combine like terms: -7 + 7 = 0 0 + 35k = -147 + 7 35k = -147 + 7 Combine like terms: -147 + 7 = -140 35k = -140 Divide each side by '35'. k = -4 Simplifying k = -4
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