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Simplifying 21 = 2(4q + 2) Reorder the terms: 21 = 2(2 + 4q) 21 = (2 * 2 + 4q * 2) 21 = (4 + 8q) Solving 21 = 4 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 21 + -8q = 4 + 8q + -8q Combine like terms: 8q + -8q = 0 21 + -8q = 4 + 0 21 + -8q = 4 Add '-21' to each side of the equation. 21 + -21 + -8q = 4 + -21 Combine like terms: 21 + -21 = 0 0 + -8q = 4 + -21 -8q = 4 + -21 Combine like terms: 4 + -21 = -17 -8q = -17 Divide each side by '-8'. q = 2.125 Simplifying q = 2.125
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