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Simplifying 2k + -3(k + -4) = -3 Reorder the terms: 2k + -3(-4 + k) = -3 2k + (-4 * -3 + k * -3) = -3 2k + (12 + -3k) = -3 Reorder the terms: 12 + 2k + -3k = -3 Combine like terms: 2k + -3k = -1k 12 + -1k = -3 Solving 12 + -1k = -3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1k = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -1k = -3 + -12 -1k = -3 + -12 Combine like terms: -3 + -12 = -15 -1k = -15 Divide each side by '-1'. k = 15 Simplifying k = 15
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