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Simplifying -14(k + 1) = 420 Reorder the terms: -14(1 + k) = 420 (1 * -14 + k * -14) = 420 (-14 + -14k) = 420 Solving -14 + -14k = 420 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -14k = 420 + 14 Combine like terms: -14 + 14 = 0 0 + -14k = 420 + 14 -14k = 420 + 14 Combine like terms: 420 + 14 = 434 -14k = 434 Divide each side by '-14'. k = -31 Simplifying k = -31
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