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Simplifying 8k + -5 + 5(2k + -3) + -7 = 0 Reorder the terms: 8k + -5 + 5(-3 + 2k) + -7 = 0 8k + -5 + (-3 * 5 + 2k * 5) + -7 = 0 8k + -5 + (-15 + 10k) + -7 = 0 Reorder the terms: -5 + -15 + -7 + 8k + 10k = 0 Combine like terms: -5 + -15 = -20 -20 + -7 + 8k + 10k = 0 Combine like terms: -20 + -7 = -27 -27 + 8k + 10k = 0 Combine like terms: 8k + 10k = 18k -27 + 18k = 0 Solving -27 + 18k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 18k = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 18k = 0 + 27 18k = 0 + 27 Combine like terms: 0 + 27 = 27 18k = 27 Divide each side by '18'. k = 1.5 Simplifying k = 1.5
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