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Simplifying 9 + -3k + 5k + 4(k + -3) = 0 Reorder the terms: 9 + -3k + 5k + 4(-3 + k) = 0 9 + -3k + 5k + (-3 * 4 + k * 4) = 0 9 + -3k + 5k + (-12 + 4k) = 0 Reorder the terms: 9 + -12 + -3k + 5k + 4k = 0 Combine like terms: 9 + -12 = -3 -3 + -3k + 5k + 4k = 0 Combine like terms: -3k + 5k = 2k -3 + 2k + 4k = 0 Combine like terms: 2k + 4k = 6k -3 + 6k = 0 Solving -3 + 6k = 0 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 + 6k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6k = 0 + 3 6k = 0 + 3 Combine like terms: 0 + 3 = 3 6k = 3 Divide each side by '6'. k = 0.5 Simplifying k = 0.5
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