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Simplifying 5(-4 + -3k) + 8k = -1.3(18 + 6k) + 1 (-4 * 5 + -3k * 5) + 8k = -1.3(18 + 6k) + 1 (-20 + -15k) + 8k = -1.3(18 + 6k) + 1 Combine like terms: -15k + 8k = -7k -20 + -7k = -1.3(18 + 6k) + 1 -20 + -7k = (18 * -1.3 + 6k * -1.3) + 1 -20 + -7k = (-23.4 + -7.8k) + 1 Reorder the terms: -20 + -7k = -23.4 + 1 + -7.8k Combine like terms: -23.4 + 1 = -22.4 -20 + -7k = -22.4 + -7.8k Solving -20 + -7k = -22.4 + -7.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7.8k' to each side of the equation. -20 + -7k + 7.8k = -22.4 + -7.8k + 7.8k Combine like terms: -7k + 7.8k = 0.8k -20 + 0.8k = -22.4 + -7.8k + 7.8k Combine like terms: -7.8k + 7.8k = 0.0 -20 + 0.8k = -22.4 + 0.0 -20 + 0.8k = -22.4 Add '20' to each side of the equation. -20 + 20 + 0.8k = -22.4 + 20 Combine like terms: -20 + 20 = 0 0 + 0.8k = -22.4 + 20 0.8k = -22.4 + 20 Combine like terms: -22.4 + 20 = -2.4 0.8k = -2.4 Divide each side by '0.8'. k = -3 Simplifying k = -3
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