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Simplifying -5(4k + 4) + -1(2k + 2) + -6k + 6 = 0 Reorder the terms: -5(4 + 4k) + -1(2k + 2) + -6k + 6 = 0 (4 * -5 + 4k * -5) + -1(2k + 2) + -6k + 6 = 0 (-20 + -20k) + -1(2k + 2) + -6k + 6 = 0 Reorder the terms: -20 + -20k + -1(2 + 2k) + -6k + 6 = 0 -20 + -20k + (2 * -1 + 2k * -1) + -6k + 6 = 0 -20 + -20k + (-2 + -2k) + -6k + 6 = 0 Reorder the terms: -20 + -2 + 6 + -20k + -2k + -6k = 0 Combine like terms: -20 + -2 = -22 -22 + 6 + -20k + -2k + -6k = 0 Combine like terms: -22 + 6 = -16 -16 + -20k + -2k + -6k = 0 Combine like terms: -20k + -2k = -22k -16 + -22k + -6k = 0 Combine like terms: -22k + -6k = -28k -16 + -28k = 0 Solving -16 + -28k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -28k = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -28k = 0 + 16 -28k = 0 + 16 Combine like terms: 0 + 16 = 16 -28k = 16 Divide each side by '-28'. k = -0.5714285714 Simplifying k = -0.5714285714
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