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Simplifying 0.83(q + 2) = -0.77q + -0.33 + 2 Reorder the terms: 0.83(2 + q) = -0.77q + -0.33 + 2 (2 * 0.83 + q * 0.83) = -0.77q + -0.33 + 2 (1.66 + 0.83q) = -0.77q + -0.33 + 2 Reorder the terms: 1.66 + 0.83q = -0.33 + 2 + -0.77q Combine like terms: -0.33 + 2 = 1.67 1.66 + 0.83q = 1.67 + -0.77q Solving 1.66 + 0.83q = 1.67 + -0.77q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.77q' to each side of the equation. 1.66 + 0.83q + 0.77q = 1.67 + -0.77q + 0.77q Combine like terms: 0.83q + 0.77q = 1.6q 1.66 + 1.6q = 1.67 + -0.77q + 0.77q Combine like terms: -0.77q + 0.77q = 0.00 1.66 + 1.6q = 1.67 + 0.00 1.66 + 1.6q = 1.67 Add '-1.66' to each side of the equation. 1.66 + -1.66 + 1.6q = 1.67 + -1.66 Combine like terms: 1.66 + -1.66 = 0.00 0.00 + 1.6q = 1.67 + -1.66 1.6q = 1.67 + -1.66 Combine like terms: 1.67 + -1.66 = 0.01 1.6q = 0.01 Divide each side by '1.6'. q = 0.00625 Simplifying q = 0.00625
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