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Simplifying 2.8q + -4.1 + -5.1q = 3.3q + -2.9 Reorder the terms: -4.1 + 2.8q + -5.1q = 3.3q + -2.9 Combine like terms: 2.8q + -5.1q = -2.3q -4.1 + -2.3q = 3.3q + -2.9 Reorder the terms: -4.1 + -2.3q = -2.9 + 3.3q Solving -4.1 + -2.3q = -2.9 + 3.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3.3q' to each side of the equation. -4.1 + -2.3q + -3.3q = -2.9 + 3.3q + -3.3q Combine like terms: -2.3q + -3.3q = -5.6q -4.1 + -5.6q = -2.9 + 3.3q + -3.3q Combine like terms: 3.3q + -3.3q = 0.0 -4.1 + -5.6q = -2.9 + 0.0 -4.1 + -5.6q = -2.9 Add '4.1' to each side of the equation. -4.1 + 4.1 + -5.6q = -2.9 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + -5.6q = -2.9 + 4.1 -5.6q = -2.9 + 4.1 Combine like terms: -2.9 + 4.1 = 1.2 -5.6q = 1.2 Divide each side by '-5.6'. q = -0.2142857143 Simplifying q = -0.2142857143
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