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Simplifying 5(-2k + 3) + 6 = 0 Reorder the terms: 5(3 + -2k) + 6 = 0 (3 * 5 + -2k * 5) + 6 = 0 (15 + -10k) + 6 = 0 Reorder the terms: 15 + 6 + -10k = 0 Combine like terms: 15 + 6 = 21 21 + -10k = 0 Solving 21 + -10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -10k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -10k = 0 + -21 -10k = 0 + -21 Combine like terms: 0 + -21 = -21 -10k = -21 Divide each side by '-10'. k = 2.1 Simplifying k = 2.1
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