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Simplifying 3.6q + -4.1 + -4.7q = 2.1q + -2.4 Reorder the terms: -4.1 + 3.6q + -4.7q = 2.1q + -2.4 Combine like terms: 3.6q + -4.7q = -1.1q -4.1 + -1.1q = 2.1q + -2.4 Reorder the terms: -4.1 + -1.1q = -2.4 + 2.1q Solving -4.1 + -1.1q = -2.4 + 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. -4.1 + -1.1q + -2.1q = -2.4 + 2.1q + -2.1q Combine like terms: -1.1q + -2.1q = -3.2q -4.1 + -3.2q = -2.4 + 2.1q + -2.1q Combine like terms: 2.1q + -2.1q = 0.0 -4.1 + -3.2q = -2.4 + 0.0 -4.1 + -3.2q = -2.4 Add '4.1' to each side of the equation. -4.1 + 4.1 + -3.2q = -2.4 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + -3.2q = -2.4 + 4.1 -3.2q = -2.4 + 4.1 Combine like terms: -2.4 + 4.1 = 1.7 -3.2q = 1.7 Divide each side by '-3.2'. q = -0.53125 Simplifying q = -0.53125
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