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Simplifying 6(3k + -8) = 6(k + -6) Reorder the terms: 6(-8 + 3k) = 6(k + -6) (-8 * 6 + 3k * 6) = 6(k + -6) (-48 + 18k) = 6(k + -6) Reorder the terms: -48 + 18k = 6(-6 + k) -48 + 18k = (-6 * 6 + k * 6) -48 + 18k = (-36 + 6k) Solving -48 + 18k = -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. -48 + 18k + -6k = -36 + 6k + -6k Combine like terms: 18k + -6k = 12k -48 + 12k = -36 + 6k + -6k Combine like terms: 6k + -6k = 0 -48 + 12k = -36 + 0 -48 + 12k = -36 Add '48' to each side of the equation. -48 + 48 + 12k = -36 + 48 Combine like terms: -48 + 48 = 0 0 + 12k = -36 + 48 12k = -36 + 48 Combine like terms: -36 + 48 = 12 12k = 12 Divide each side by '12'. k = 1 Simplifying k = 1
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