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Simplifying 5(3q + 2) = 4(4q + 1) Reorder the terms: 5(2 + 3q) = 4(4q + 1) (2 * 5 + 3q * 5) = 4(4q + 1) (10 + 15q) = 4(4q + 1) Reorder the terms: 10 + 15q = 4(1 + 4q) 10 + 15q = (1 * 4 + 4q * 4) 10 + 15q = (4 + 16q) Solving 10 + 15q = 4 + 16q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16q' to each side of the equation. 10 + 15q + -16q = 4 + 16q + -16q Combine like terms: 15q + -16q = -1q 10 + -1q = 4 + 16q + -16q Combine like terms: 16q + -16q = 0 10 + -1q = 4 + 0 10 + -1q = 4 Add '-10' to each side of the equation. 10 + -10 + -1q = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -1q = 4 + -10 -1q = 4 + -10 Combine like terms: 4 + -10 = -6 -1q = -6 Divide each side by '-1'. q = 6 Simplifying q = 6
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