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Simplifying -1 + -7(1 + -2k) = 90 -1 + (1 * -7 + -2k * -7) = 90 -1 + (-7 + 14k) = 90 Combine like terms: -1 + -7 = -8 -8 + 14k = 90 Solving -8 + 14k = 90 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 14k = 90 + 8 Combine like terms: -8 + 8 = 0 0 + 14k = 90 + 8 14k = 90 + 8 Combine like terms: 90 + 8 = 98 14k = 98 Divide each side by '14'. k = 7 Simplifying k = 7
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