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Simplifying -6(2 + 5k) = 36 + -6k (2 * -6 + 5k * -6) = 36 + -6k (-12 + -30k) = 36 + -6k Solving -12 + -30k = 36 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -12 + -30k + 6k = 36 + -6k + 6k Combine like terms: -30k + 6k = -24k -12 + -24k = 36 + -6k + 6k Combine like terms: -6k + 6k = 0 -12 + -24k = 36 + 0 -12 + -24k = 36 Add '12' to each side of the equation. -12 + 12 + -24k = 36 + 12 Combine like terms: -12 + 12 = 0 0 + -24k = 36 + 12 -24k = 36 + 12 Combine like terms: 36 + 12 = 48 -24k = 48 Divide each side by '-24'. k = -2 Simplifying k = -2
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