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Simplifying -3(2k + -6) + -4(4k + -5) + -11k = 0 Reorder the terms: -3(-6 + 2k) + -4(4k + -5) + -11k = 0 (-6 * -3 + 2k * -3) + -4(4k + -5) + -11k = 0 (18 + -6k) + -4(4k + -5) + -11k = 0 Reorder the terms: 18 + -6k + -4(-5 + 4k) + -11k = 0 18 + -6k + (-5 * -4 + 4k * -4) + -11k = 0 18 + -6k + (20 + -16k) + -11k = 0 Reorder the terms: 18 + 20 + -6k + -16k + -11k = 0 Combine like terms: 18 + 20 = 38 38 + -6k + -16k + -11k = 0 Combine like terms: -6k + -16k = -22k 38 + -22k + -11k = 0 Combine like terms: -22k + -11k = -33k 38 + -33k = 0 Solving 38 + -33k = 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 + -33k = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -33k = 0 + -38 -33k = 0 + -38 Combine like terms: 0 + -38 = -38 -33k = -38 Divide each side by '-33'. k = 1.151515152 Simplifying k = 1.151515152
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