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Simplifying -2k + 5(-9 + -4k) + 7 = 0 -2k + (-9 * 5 + -4k * 5) + 7 = 0 -2k + (-45 + -20k) + 7 = 0 Reorder the terms: -45 + 7 + -2k + -20k = 0 Combine like terms: -45 + 7 = -38 -38 + -2k + -20k = 0 Combine like terms: -2k + -20k = -22k -38 + -22k = 0 Solving -38 + -22k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -22k = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -22k = 0 + 38 -22k = 0 + 38 Combine like terms: 0 + 38 = 38 -22k = 38 Divide each side by '-22'. k = -1.727272727 Simplifying k = -1.727272727
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