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Simplifying 0.33(6k + 6) + -1(k + -3) = 0 Reorder the terms: 0.33(6 + 6k) + -1(k + -3) = 0 (6 * 0.33 + 6k * 0.33) + -1(k + -3) = 0 (1.98 + 1.98k) + -1(k + -3) = 0 Reorder the terms: 1.98 + 1.98k + -1(-3 + k) = 0 1.98 + 1.98k + (-3 * -1 + k * -1) = 0 1.98 + 1.98k + (3 + -1k) = 0 Reorder the terms: 1.98 + 3 + 1.98k + -1k = 0 Combine like terms: 1.98 + 3 = 4.98 4.98 + 1.98k + -1k = 0 Combine like terms: 1.98k + -1k = 0.98k 4.98 + 0.98k = 0 Solving 4.98 + 0.98k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4.98' to each side of the equation. 4.98 + -4.98 + 0.98k = 0 + -4.98 Combine like terms: 4.98 + -4.98 = 0.00 0.00 + 0.98k = 0 + -4.98 0.98k = 0 + -4.98 Combine like terms: 0 + -4.98 = -4.98 0.98k = -4.98 Divide each side by '0.98'. k = -5.081632653 Simplifying k = -5.081632653
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