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