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Simplifying -12 = 6(-5k + 3) Reorder the terms: -12 = 6(3 + -5k) -12 = (3 * 6 + -5k * 6) -12 = (18 + -30k) Solving -12 = 18 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. -12 + 30k = 18 + -30k + 30k Combine like terms: -30k + 30k = 0 -12 + 30k = 18 + 0 -12 + 30k = 18 Add '12' to each side of the equation. -12 + 12 + 30k = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 30k = 18 + 12 30k = 18 + 12 Combine like terms: 18 + 12 = 30 30k = 30 Divide each side by '30'. k = 1 Simplifying k = 1
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