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Simplifying 2.4q + -4.2 + -3.4q = 2.0q + -2.9 Reorder the terms: -4.2 + 2.4q + -3.4q = 2.0q + -2.9 Combine like terms: 2.4q + -3.4q = -1q -4.2 + -1q = 2.0q + -2.9 Reorder the terms: -4.2 + -1q = -2.9 + 2.0q Solving -4.2 + -1q = -2.9 + 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. -4.2 + -1q + -2.0q = -2.9 + 2.0q + -2.0q Combine like terms: -1q + -2.0q = -3q -4.2 + -3q = -2.9 + 2.0q + -2.0q Combine like terms: 2.0q + -2.0q = 0.0 -4.2 + -3q = -2.9 + 0.0 -4.2 + -3q = -2.9 Add '4.2' to each side of the equation. -4.2 + 4.2 + -3q = -2.9 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + -3q = -2.9 + 4.2 -3q = -2.9 + 4.2 Combine like terms: -2.9 + 4.2 = 1.3 -3q = 1.3 Divide each side by '-3'. q = -0.4333333333 Simplifying q = -0.4333333333
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