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Simplifying -12 = 3 + -2k + -3(k + 2) Reorder the terms: -12 = 3 + -2k + -3(2 + k) -12 = 3 + -2k + (2 * -3 + k * -3) -12 = 3 + -2k + (-6 + -3k) Reorder the terms: -12 = 3 + -6 + -2k + -3k Combine like terms: 3 + -6 = -3 -12 = -3 + -2k + -3k Combine like terms: -2k + -3k = -5k -12 = -3 + -5k Solving -12 = -3 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -12 + 5k = -3 + -5k + 5k Combine like terms: -5k + 5k = 0 -12 + 5k = -3 + 0 -12 + 5k = -3 Add '12' to each side of the equation. -12 + 12 + 5k = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 5k = -3 + 12 5k = -3 + 12 Combine like terms: -3 + 12 = 9 5k = 9 Divide each side by '5'. k = 1.8 Simplifying k = 1.8
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