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Simplifying 2.3q + -4.9 + -2.9q = 1.6q + -4.6 Reorder the terms: -4.9 + 2.3q + -2.9q = 1.6q + -4.6 Combine like terms: 2.3q + -2.9q = -0.6q -4.9 + -0.6q = 1.6q + -4.6 Reorder the terms: -4.9 + -0.6q = -4.6 + 1.6q Solving -4.9 + -0.6q = -4.6 + 1.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.6q' to each side of the equation. -4.9 + -0.6q + -1.6q = -4.6 + 1.6q + -1.6q Combine like terms: -0.6q + -1.6q = -2.2q -4.9 + -2.2q = -4.6 + 1.6q + -1.6q Combine like terms: 1.6q + -1.6q = 0.0 -4.9 + -2.2q = -4.6 + 0.0 -4.9 + -2.2q = -4.6 Add '4.9' to each side of the equation. -4.9 + 4.9 + -2.2q = -4.6 + 4.9 Combine like terms: -4.9 + 4.9 = 0.0 0.0 + -2.2q = -4.6 + 4.9 -2.2q = -4.6 + 4.9 Combine like terms: -4.6 + 4.9 = 0.3 -2.2q = 0.3 Divide each side by '-2.2'. q = -0.1363636364 Simplifying q = -0.1363636364
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