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Simplifying (3 + k)(-4) + -5k = 0 Reorder the terms for easier multiplication: -4(3 + k) + -5k = 0 (3 * -4 + k * -4) + -5k = 0 (-12 + -4k) + -5k = 0 Combine like terms: -4k + -5k = -9k -12 + -9k = 0 Solving -12 + -9k = 0 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 + -9k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -9k = 0 + 12 -9k = 0 + 12 Combine like terms: 0 + 12 = 12 -9k = 12 Divide each side by '-9'. k = -1.333333333 Simplifying k = -1.333333333
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