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Simplifying -3(1 + 7) + -5k + 4 = 0 Combine like terms: 1 + 7 = 8 -3(8) + -5k + 4 = 0 Multiply -3 * 8 -24 + -5k + 4 = 0 Reorder the terms: -24 + 4 + -5k = 0 Combine like terms: -24 + 4 = -20 -20 + -5k = 0 Solving -20 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -5k = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -5k = 0 + 20 -5k = 0 + 20 Combine like terms: 0 + 20 = 20 -5k = 20 Divide each side by '-5'. k = -4 Simplifying k = -4
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