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Simplifying 4(0.75q + 2) = q + 16 Reorder the terms: 4(2 + 0.75q) = q + 16 (2 * 4 + 0.75q * 4) = q + 16 (8 + 3q) = q + 16 Reorder the terms: 8 + 3q = 16 + q Solving 8 + 3q = 16 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 8 + 3q + -1q = 16 + q + -1q Combine like terms: 3q + -1q = 2q 8 + 2q = 16 + q + -1q Combine like terms: q + -1q = 0 8 + 2q = 16 + 0 8 + 2q = 16 Add '-8' to each side of the equation. 8 + -8 + 2q = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 2q = 16 + -8 2q = 16 + -8 Combine like terms: 16 + -8 = 8 2q = 8 Divide each side by '2'. q = 4 Simplifying q = 4
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