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Simplifying 3.4q + -2.5 + -4.5q = 2.1q + -4.2 Reorder the terms: -2.5 + 3.4q + -4.5q = 2.1q + -4.2 Combine like terms: 3.4q + -4.5q = -1.1q -2.5 + -1.1q = 2.1q + -4.2 Reorder the terms: -2.5 + -1.1q = -4.2 + 2.1q Solving -2.5 + -1.1q = -4.2 + 2.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.1q' to each side of the equation. -2.5 + -1.1q + -2.1q = -4.2 + 2.1q + -2.1q Combine like terms: -1.1q + -2.1q = -3.2q -2.5 + -3.2q = -4.2 + 2.1q + -2.1q Combine like terms: 2.1q + -2.1q = 0.0 -2.5 + -3.2q = -4.2 + 0.0 -2.5 + -3.2q = -4.2 Add '2.5' to each side of the equation. -2.5 + 2.5 + -3.2q = -4.2 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -3.2q = -4.2 + 2.5 -3.2q = -4.2 + 2.5 Combine like terms: -4.2 + 2.5 = -1.7 -3.2q = -1.7 Divide each side by '-3.2'. q = 0.53125 Simplifying q = 0.53125
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