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Simplifying -3(5 + 7) + -5k + 4 = 0 Combine like terms: 5 + 7 = 12 -3(12) + -5k + 4 = 0 Multiply -3 * 12 -36 + -5k + 4 = 0 Reorder the terms: -36 + 4 + -5k = 0 Combine like terms: -36 + 4 = -32 -32 + -5k = 0 Solving -32 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -5k = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -5k = 0 + 32 -5k = 0 + 32 Combine like terms: 0 + 32 = 32 -5k = 32 Divide each side by '-5'. k = -6.4 Simplifying k = -6.4
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