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Simplifying 10(3k + 1) = 6(7 + 4q) Reorder the terms: 10(1 + 3k) = 6(7 + 4q) (1 * 10 + 3k * 10) = 6(7 + 4q) (10 + 30k) = 6(7 + 4q) 10 + 30k = (7 * 6 + 4q * 6) 10 + 30k = (42 + 24q) Solving 10 + 30k = 42 + 24q Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 30k = 42 + -10 + 24q Combine like terms: 10 + -10 = 0 0 + 30k = 42 + -10 + 24q 30k = 42 + -10 + 24q Combine like terms: 42 + -10 = 32 30k = 32 + 24q Divide each side by '30'. k = 1.066666667 + 0.8q Simplifying k = 1.066666667 + 0.8q
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