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Simplifying 8 = 3 + 2(2q + 1) Reorder the terms: 8 = 3 + 2(1 + 2q) 8 = 3 + (1 * 2 + 2q * 2) 8 = 3 + (2 + 4q) Combine like terms: 3 + 2 = 5 8 = 5 + 4q Solving 8 = 5 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 8 + -4q = 5 + 4q + -4q Combine like terms: 4q + -4q = 0 8 + -4q = 5 + 0 8 + -4q = 5 Add '-8' to each side of the equation. 8 + -8 + -4q = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -4q = 5 + -8 -4q = 5 + -8 Combine like terms: 5 + -8 = -3 -4q = -3 Divide each side by '-4'. q = 0.75 Simplifying q = 0.75
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