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Simplifying 12 = -2(5 + -1k) + 20 12 = (5 * -2 + -1k * -2) + 20 12 = (-10 + 2k) + 20 Reorder the terms: 12 = -10 + 20 + 2k Combine like terms: -10 + 20 = 10 12 = 10 + 2k Solving 12 = 10 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 12 + -2k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + -2k = 10 + 0 12 + -2k = 10 Add '-12' to each side of the equation. 12 + -12 + -2k = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -2k = 10 + -12 -2k = 10 + -12 Combine like terms: 10 + -12 = -2 -2k = -2 Divide each side by '-2'. k = 1 Simplifying k = 1
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