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Simplifying 12k + -26 = 2(4k + -3) Reorder the terms: -26 + 12k = 2(4k + -3) Reorder the terms: -26 + 12k = 2(-3 + 4k) -26 + 12k = (-3 * 2 + 4k * 2) -26 + 12k = (-6 + 8k) Solving -26 + 12k = -6 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -26 + 12k + -8k = -6 + 8k + -8k Combine like terms: 12k + -8k = 4k -26 + 4k = -6 + 8k + -8k Combine like terms: 8k + -8k = 0 -26 + 4k = -6 + 0 -26 + 4k = -6 Add '26' to each side of the equation. -26 + 26 + 4k = -6 + 26 Combine like terms: -26 + 26 = 0 0 + 4k = -6 + 26 4k = -6 + 26 Combine like terms: -6 + 26 = 20 4k = 20 Divide each side by '4'. k = 5 Simplifying k = 5
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