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Simplifying (4 + -3k) * 7 = 0 Reorder the terms for easier multiplication: 7(4 + -3k) = 0 (4 * 7 + -3k * 7) = 0 (28 + -21k) = 0 Solving 28 + -21k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -21k = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -21k = 0 + -28 -21k = 0 + -28 Combine like terms: 0 + -28 = -28 -21k = -28 Divide each side by '-21'. k = 1.333333333 Simplifying k = 1.333333333
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