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Simplifying 3.8q + -4.5 + -4.6q = -1.8q + -1.2 Reorder the terms: -4.5 + 3.8q + -4.6q = -1.8q + -1.2 Combine like terms: 3.8q + -4.6q = -0.8q -4.5 + -0.8q = -1.8q + -1.2 Reorder the terms: -4.5 + -0.8q = -1.2 + -1.8q Solving -4.5 + -0.8q = -1.2 + -1.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.8q' to each side of the equation. -4.5 + -0.8q + 1.8q = -1.2 + -1.8q + 1.8q Combine like terms: -0.8q + 1.8q = 1q -4.5 + 1q = -1.2 + -1.8q + 1.8q Combine like terms: -1.8q + 1.8q = 0.0 -4.5 + 1q = -1.2 + 0.0 -4.5 + 1q = -1.2 Add '4.5' to each side of the equation. -4.5 + 4.5 + 1q = -1.2 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 1q = -1.2 + 4.5 1q = -1.2 + 4.5 Combine like terms: -1.2 + 4.5 = 3.3 1q = 3.3 Divide each side by '1'. q = 3.3 Simplifying q = 3.3
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