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Simplifying 4(-6k + -6) + 9k = 0 Reorder the terms: 4(-6 + -6k) + 9k = 0 (-6 * 4 + -6k * 4) + 9k = 0 (-24 + -24k) + 9k = 0 Combine like terms: -24k + 9k = -15k -24 + -15k = 0 Solving -24 + -15k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -15k = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -15k = 0 + 24 -15k = 0 + 24 Combine like terms: 0 + 24 = 24 -15k = 24 Divide each side by '-15'. k = -1.6 Simplifying k = -1.6
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