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Simplifying 2.7q + -4.9 + -5.3q = 1.6q + -4.9 Reorder the terms: -4.9 + 2.7q + -5.3q = 1.6q + -4.9 Combine like terms: 2.7q + -5.3q = -2.6q -4.9 + -2.6q = 1.6q + -4.9 Reorder the terms: -4.9 + -2.6q = -4.9 + 1.6q Add '4.9' to each side of the equation. -4.9 + 4.9 + -2.6q = -4.9 + 4.9 + 1.6q Combine like terms: -4.9 + 4.9 = 0.0 0.0 + -2.6q = -4.9 + 4.9 + 1.6q -2.6q = -4.9 + 4.9 + 1.6q Combine like terms: -4.9 + 4.9 = 0.0 -2.6q = 0.0 + 1.6q -2.6q = 1.6q Solving -2.6q = 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. -2.6q + -1.6q = 1.6q + -1.6q Combine like terms: -2.6q + -1.6q = -4.2q -4.2q = 1.6q + -1.6q Combine like terms: 1.6q + -1.6q = 0.0 -4.2q = 0.0 Divide each side by '-4.2'. q = 0 Simplifying q = 0
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