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Simplifying -90 = -2(3 + -7k) -90 = (3 * -2 + -7k * -2) -90 = (-6 + 14k) Solving -90 = -6 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -90 + -14k = -6 + 14k + -14k Combine like terms: 14k + -14k = 0 -90 + -14k = -6 + 0 -90 + -14k = -6 Add '90' to each side of the equation. -90 + 90 + -14k = -6 + 90 Combine like terms: -90 + 90 = 0 0 + -14k = -6 + 90 -14k = -6 + 90 Combine like terms: -6 + 90 = 84 -14k = 84 Divide each side by '-14'. k = -6 Simplifying k = -6
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