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Simplifying 0.833(q + 2) = -0.777q + -0.333 + 2 Reorder the terms: 0.833(2 + q) = -0.777q + -0.333 + 2 (2 * 0.833 + q * 0.833) = -0.777q + -0.333 + 2 (1.666 + 0.833q) = -0.777q + -0.333 + 2 Reorder the terms: 1.666 + 0.833q = -0.333 + 2 + -0.777q Combine like terms: -0.333 + 2 = 1.667 1.666 + 0.833q = 1.667 + -0.777q Solving 1.666 + 0.833q = 1.667 + -0.777q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.777q' to each side of the equation. 1.666 + 0.833q + 0.777q = 1.667 + -0.777q + 0.777q Combine like terms: 0.833q + 0.777q = 1.61q 1.666 + 1.61q = 1.667 + -0.777q + 0.777q Combine like terms: -0.777q + 0.777q = 0.000 1.666 + 1.61q = 1.667 + 0.000 1.666 + 1.61q = 1.667 Add '-1.666' to each side of the equation. 1.666 + -1.666 + 1.61q = 1.667 + -1.666 Combine like terms: 1.666 + -1.666 = 0.000 0.000 + 1.61q = 1.667 + -1.666 1.61q = 1.667 + -1.666 Combine like terms: 1.667 + -1.666 = 0.001 1.61q = 0.001 Divide each side by '1.61'. q = 0.0006211180124 Simplifying q = 0.0006211180124
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