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Simplifying -3(2.6k) + 3 = -32.4 Remove parenthesis around (2.6k) -3 * 2.6k + 3 = -32.4 Multiply -3 * 2.6 -7.8k + 3 = -32.4 Reorder the terms: 3 + -7.8k = -32.4 Solving 3 + -7.8k = -32.4 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 + -7.8k = -32.4 + -3 Combine like terms: 3 + -3 = 0 0 + -7.8k = -32.4 + -3 -7.8k = -32.4 + -3 Combine like terms: -32.4 + -3 = -35.4 -7.8k = -35.4 Divide each side by '-7.8'. k = 4.538461538 Simplifying k = 4.538461538
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