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Simplifying 6(5 + -8) + -20 = 11(2k + -3) + 3k Combine like terms: 5 + -8 = -3 6(-3) + -20 = 11(2k + -3) + 3k Multiply 6 * -3 -18 + -20 = 11(2k + -3) + 3k Combine like terms: -18 + -20 = -38 -38 = 11(2k + -3) + 3k Reorder the terms: -38 = 11(-3 + 2k) + 3k -38 = (-3 * 11 + 2k * 11) + 3k -38 = (-33 + 22k) + 3k Combine like terms: 22k + 3k = 25k -38 = -33 + 25k Solving -38 = -33 + 25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25k' to each side of the equation. -38 + -25k = -33 + 25k + -25k Combine like terms: 25k + -25k = 0 -38 + -25k = -33 + 0 -38 + -25k = -33 Add '38' to each side of the equation. -38 + 38 + -25k = -33 + 38 Combine like terms: -38 + 38 = 0 0 + -25k = -33 + 38 -25k = -33 + 38 Combine like terms: -33 + 38 = 5 -25k = 5 Divide each side by '-25'. k = -0.2 Simplifying k = -0.2
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