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Simplifying 4.6 + -5.8 + -5.6q = 2.0q + -4.5 Combine like terms: 4.6 + -5.8 = -1.2 -1.2 + -5.6q = 2.0q + -4.5 Reorder the terms: -1.2 + -5.6q = -4.5 + 2.0q Solving -1.2 + -5.6q = -4.5 + 2.0q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.0q' to each side of the equation. -1.2 + -5.6q + -2.0q = -4.5 + 2.0q + -2.0q Combine like terms: -5.6q + -2.0q = -7.6q -1.2 + -7.6q = -4.5 + 2.0q + -2.0q Combine like terms: 2.0q + -2.0q = 0.0 -1.2 + -7.6q = -4.5 + 0.0 -1.2 + -7.6q = -4.5 Add '1.2' to each side of the equation. -1.2 + 1.2 + -7.6q = -4.5 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -7.6q = -4.5 + 1.2 -7.6q = -4.5 + 1.2 Combine like terms: -4.5 + 1.2 = -3.3 -7.6q = -3.3 Divide each side by '-7.6'. q = 0.4342105263 Simplifying q = 0.4342105263
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