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Simplifying 6 + -6(k + 6) = -8(-3 + 3k) Reorder the terms: 6 + -6(6 + k) = -8(-3 + 3k) 6 + (6 * -6 + k * -6) = -8(-3 + 3k) 6 + (-36 + -6k) = -8(-3 + 3k) Combine like terms: 6 + -36 = -30 -30 + -6k = -8(-3 + 3k) -30 + -6k = (-3 * -8 + 3k * -8) -30 + -6k = (24 + -24k) Solving -30 + -6k = 24 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. -30 + -6k + 24k = 24 + -24k + 24k Combine like terms: -6k + 24k = 18k -30 + 18k = 24 + -24k + 24k Combine like terms: -24k + 24k = 0 -30 + 18k = 24 + 0 -30 + 18k = 24 Add '30' to each side of the equation. -30 + 30 + 18k = 24 + 30 Combine like terms: -30 + 30 = 0 0 + 18k = 24 + 30 18k = 24 + 30 Combine like terms: 24 + 30 = 54 18k = 54 Divide each side by '18'. k = 3 Simplifying k = 3
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