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Simplifying -67.22 = -3.6 + -1.8(-7.9 + 7k) -67.22 = -3.6 + (-7.9 * -1.8 + 7k * -1.8) -67.22 = -3.6 + (14.22 + -12.6k) Combine like terms: -3.6 + 14.22 = 10.62 -67.22 = 10.62 + -12.6k Solving -67.22 = 10.62 + -12.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12.6k' to each side of the equation. -67.22 + 12.6k = 10.62 + -12.6k + 12.6k Combine like terms: -12.6k + 12.6k = 0.0 -67.22 + 12.6k = 10.62 + 0.0 -67.22 + 12.6k = 10.62 Add '67.22' to each side of the equation. -67.22 + 67.22 + 12.6k = 10.62 + 67.22 Combine like terms: -67.22 + 67.22 = 0.00 0.00 + 12.6k = 10.62 + 67.22 12.6k = 10.62 + 67.22 Combine like terms: 10.62 + 67.22 = 77.84 12.6k = 77.84 Divide each side by '12.6'. k = 6.177777778 Simplifying k = 6.177777778
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