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Simplifying 30 + 7k = 4(8k + -5) Reorder the terms: 30 + 7k = 4(-5 + 8k) 30 + 7k = (-5 * 4 + 8k * 4) 30 + 7k = (-20 + 32k) Solving 30 + 7k = -20 + 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. 30 + 7k + -32k = -20 + 32k + -32k Combine like terms: 7k + -32k = -25k 30 + -25k = -20 + 32k + -32k Combine like terms: 32k + -32k = 0 30 + -25k = -20 + 0 30 + -25k = -20 Add '-30' to each side of the equation. 30 + -30 + -25k = -20 + -30 Combine like terms: 30 + -30 = 0 0 + -25k = -20 + -30 -25k = -20 + -30 Combine like terms: -20 + -30 = -50 -25k = -50 Divide each side by '-25'. k = 2 Simplifying k = 2
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