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Simplifying -3 + -8(2k + -6) = 36 Reorder the terms: -3 + -8(-6 + 2k) = 36 -3 + (-6 * -8 + 2k * -8) = 36 -3 + (48 + -16k) = 36 Combine like terms: -3 + 48 = 45 45 + -16k = 36 Solving 45 + -16k = 36 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -16k = 36 + -45 Combine like terms: 45 + -45 = 0 0 + -16k = 36 + -45 -16k = 36 + -45 Combine like terms: 36 + -45 = -9 -16k = -9 Divide each side by '-16'. k = 0.5625 Simplifying k = 0.5625
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