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Simplifying 90 = -2(6 + -5k) + 7k 90 = (6 * -2 + -5k * -2) + 7k 90 = (-12 + 10k) + 7k Combine like terms: 10k + 7k = 17k 90 = -12 + 17k Solving 90 = -12 + 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. 90 + -17k = -12 + 17k + -17k Combine like terms: 17k + -17k = 0 90 + -17k = -12 + 0 90 + -17k = -12 Add '-90' to each side of the equation. 90 + -90 + -17k = -12 + -90 Combine like terms: 90 + -90 = 0 0 + -17k = -12 + -90 -17k = -12 + -90 Combine like terms: -12 + -90 = -102 -17k = -102 Divide each side by '-17'. k = 6 Simplifying k = 6
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