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Simplifying -2(4k + 3) + -3(k + -1) = -36 Reorder the terms: -2(3 + 4k) + -3(k + -1) = -36 (3 * -2 + 4k * -2) + -3(k + -1) = -36 (-6 + -8k) + -3(k + -1) = -36 Reorder the terms: -6 + -8k + -3(-1 + k) = -36 -6 + -8k + (-1 * -3 + k * -3) = -36 -6 + -8k + (3 + -3k) = -36 Reorder the terms: -6 + 3 + -8k + -3k = -36 Combine like terms: -6 + 3 = -3 -3 + -8k + -3k = -36 Combine like terms: -8k + -3k = -11k -3 + -11k = -36 Solving -3 + -11k = -36 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -11k = -36 + 3 Combine like terms: -3 + 3 = 0 0 + -11k = -36 + 3 -11k = -36 + 3 Combine like terms: -36 + 3 = -33 -11k = -33 Divide each side by '-11'. k = 3 Simplifying k = 3
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