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Simplifying 4.8q + -1.4 + -5.4q = 1.6q + -4.4 Reorder the terms: -1.4 + 4.8q + -5.4q = 1.6q + -4.4 Combine like terms: 4.8q + -5.4q = -0.6q -1.4 + -0.6q = 1.6q + -4.4 Reorder the terms: -1.4 + -0.6q = -4.4 + 1.6q Solving -1.4 + -0.6q = -4.4 + 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. -1.4 + -0.6q + -1.6q = -4.4 + 1.6q + -1.6q Combine like terms: -0.6q + -1.6q = -2.2q -1.4 + -2.2q = -4.4 + 1.6q + -1.6q Combine like terms: 1.6q + -1.6q = 0.0 -1.4 + -2.2q = -4.4 + 0.0 -1.4 + -2.2q = -4.4 Add '1.4' to each side of the equation. -1.4 + 1.4 + -2.2q = -4.4 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + -2.2q = -4.4 + 1.4 -2.2q = -4.4 + 1.4 Combine like terms: -4.4 + 1.4 = -3 -2.2q = -3 Divide each side by '-2.2'. q = 1.363636364 Simplifying q = 1.363636364
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