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Simplifying 4(k + -6) + -3(3k + -11) = 12 Reorder the terms: 4(-6 + k) + -3(3k + -11) = 12 (-6 * 4 + k * 4) + -3(3k + -11) = 12 (-24 + 4k) + -3(3k + -11) = 12 Reorder the terms: -24 + 4k + -3(-11 + 3k) = 12 -24 + 4k + (-11 * -3 + 3k * -3) = 12 -24 + 4k + (33 + -9k) = 12 Reorder the terms: -24 + 33 + 4k + -9k = 12 Combine like terms: -24 + 33 = 9 9 + 4k + -9k = 12 Combine like terms: 4k + -9k = -5k 9 + -5k = 12 Solving 9 + -5k = 12 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 + -5k = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -5k = 12 + -9 -5k = 12 + -9 Combine like terms: 12 + -9 = 3 -5k = 3 Divide each side by '-5'. k = -0.6 Simplifying k = -0.6
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