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Simplifying 0.5q + 4 = 2(q + 2) Reorder the terms: 4 + 0.5q = 2(q + 2) Reorder the terms: 4 + 0.5q = 2(2 + q) 4 + 0.5q = (2 * 2 + q * 2) 4 + 0.5q = (4 + 2q) Add '-4' to each side of the equation. 4 + -4 + 0.5q = 4 + -4 + 2q Combine like terms: 4 + -4 = 0 0 + 0.5q = 4 + -4 + 2q 0.5q = 4 + -4 + 2q Combine like terms: 4 + -4 = 0 0.5q = 0 + 2q 0.5q = 2q Solving 0.5q = 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 0.5q + -2q = 2q + -2q Combine like terms: 0.5q + -2q = -1.5q -1.5q = 2q + -2q Combine like terms: 2q + -2q = 0 -1.5q = 0 Divide each side by '-1.5'. q = 0 Simplifying q = 0
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