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Simplifying 2 + 8q = 4(3q + 5) Reorder the terms: 2 + 8q = 4(5 + 3q) 2 + 8q = (5 * 4 + 3q * 4) 2 + 8q = (20 + 12q) Solving 2 + 8q = 20 + 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. 2 + 8q + -12q = 20 + 12q + -12q Combine like terms: 8q + -12q = -4q 2 + -4q = 20 + 12q + -12q Combine like terms: 12q + -12q = 0 2 + -4q = 20 + 0 2 + -4q = 20 Add '-2' to each side of the equation. 2 + -2 + -4q = 20 + -2 Combine like terms: 2 + -2 = 0 0 + -4q = 20 + -2 -4q = 20 + -2 Combine like terms: 20 + -2 = 18 -4q = 18 Divide each side by '-4'. q = -4.5 Simplifying q = -4.5
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