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Simplifying -4.6q + -1(-4 + 0.9q) = 3.4 + -4.7q -4.6q + (-4 * -1 + 0.9q * -1) = 3.4 + -4.7q -4.6q + (4 + -0.9q) = 3.4 + -4.7q Reorder the terms: 4 + -4.6q + -0.9q = 3.4 + -4.7q Combine like terms: -4.6q + -0.9q = -5.5q 4 + -5.5q = 3.4 + -4.7q Solving 4 + -5.5q = 3.4 + -4.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.7q' to each side of the equation. 4 + -5.5q + 4.7q = 3.4 + -4.7q + 4.7q Combine like terms: -5.5q + 4.7q = -0.8q 4 + -0.8q = 3.4 + -4.7q + 4.7q Combine like terms: -4.7q + 4.7q = 0.0 4 + -0.8q = 3.4 + 0.0 4 + -0.8q = 3.4 Add '-4' to each side of the equation. 4 + -4 + -0.8q = 3.4 + -4 Combine like terms: 4 + -4 = 0 0 + -0.8q = 3.4 + -4 -0.8q = 3.4 + -4 Combine like terms: 3.4 + -4 = -0.6 -0.8q = -0.6 Divide each side by '-0.8'. q = 0.75 Simplifying q = 0.75
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