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Simplifying 12 + -1(k + 3) = 10 Reorder the terms: 12 + -1(3 + k) = 10 12 + (3 * -1 + k * -1) = 10 12 + (-3 + -1k) = 10 Combine like terms: 12 + -3 = 9 9 + -1k = 10 Solving 9 + -1k = 10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1k = 10 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 10 + -9 -1k = 10 + -9 Combine like terms: 10 + -9 = 1 -1k = 1 Divide each side by '-1'. k = -1 Simplifying k = -1
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