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Simplifying 3(8k + -2) + -6 = 2(3k + 1) + -5 Reorder the terms: 3(-2 + 8k) + -6 = 2(3k + 1) + -5 (-2 * 3 + 8k * 3) + -6 = 2(3k + 1) + -5 (-6 + 24k) + -6 = 2(3k + 1) + -5 Reorder the terms: -6 + -6 + 24k = 2(3k + 1) + -5 Combine like terms: -6 + -6 = -12 -12 + 24k = 2(3k + 1) + -5 Reorder the terms: -12 + 24k = 2(1 + 3k) + -5 -12 + 24k = (1 * 2 + 3k * 2) + -5 -12 + 24k = (2 + 6k) + -5 Reorder the terms: -12 + 24k = 2 + -5 + 6k Combine like terms: 2 + -5 = -3 -12 + 24k = -3 + 6k Solving -12 + 24k = -3 + 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 + 24k + -6k = -3 + 6k + -6k Combine like terms: 24k + -6k = 18k -12 + 18k = -3 + 6k + -6k Combine like terms: 6k + -6k = 0 -12 + 18k = -3 + 0 -12 + 18k = -3 Add '12' to each side of the equation. -12 + 12 + 18k = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 18k = -3 + 12 18k = -3 + 12 Combine like terms: -3 + 12 = 9 18k = 9 Divide each side by '18'. k = 0.5 Simplifying k = 0.5
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