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Simplifying 6(3k + 1) + -30 = 3(2k + -4) Reorder the terms: 6(1 + 3k) + -30 = 3(2k + -4) (1 * 6 + 3k * 6) + -30 = 3(2k + -4) (6 + 18k) + -30 = 3(2k + -4) Reorder the terms: 6 + -30 + 18k = 3(2k + -4) Combine like terms: 6 + -30 = -24 -24 + 18k = 3(2k + -4) Reorder the terms: -24 + 18k = 3(-4 + 2k) -24 + 18k = (-4 * 3 + 2k * 3) -24 + 18k = (-12 + 6k) Solving -24 + 18k = -12 + 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. -24 + 18k + -6k = -12 + 6k + -6k Combine like terms: 18k + -6k = 12k -24 + 12k = -12 + 6k + -6k Combine like terms: 6k + -6k = 0 -24 + 12k = -12 + 0 -24 + 12k = -12 Add '24' to each side of the equation. -24 + 24 + 12k = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 12k = -12 + 24 12k = -12 + 24 Combine like terms: -12 + 24 = 12 12k = 12 Divide each side by '12'. k = 1 Simplifying k = 1
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