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Simplifying -4(2k + -1) + 9k + -15 = 0 Reorder the terms: -4(-1 + 2k) + 9k + -15 = 0 (-1 * -4 + 2k * -4) + 9k + -15 = 0 (4 + -8k) + 9k + -15 = 0 Reorder the terms: 4 + -15 + -8k + 9k = 0 Combine like terms: 4 + -15 = -11 -11 + -8k + 9k = 0 Combine like terms: -8k + 9k = 1k -11 + 1k = 0 Solving -11 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1k = 0 + 11 1k = 0 + 11 Combine like terms: 0 + 11 = 11 1k = 11 Divide each side by '1'. k = 11 Simplifying k = 11
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