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Simplifying 1.4q + -3.6 + -5.2q = 4.8q + -2.8 Reorder the terms: -3.6 + 1.4q + -5.2q = 4.8q + -2.8 Combine like terms: 1.4q + -5.2q = -3.8q -3.6 + -3.8q = 4.8q + -2.8 Reorder the terms: -3.6 + -3.8q = -2.8 + 4.8q Solving -3.6 + -3.8q = -2.8 + 4.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4.8q' to each side of the equation. -3.6 + -3.8q + -4.8q = -2.8 + 4.8q + -4.8q Combine like terms: -3.8q + -4.8q = -8.6q -3.6 + -8.6q = -2.8 + 4.8q + -4.8q Combine like terms: 4.8q + -4.8q = 0.0 -3.6 + -8.6q = -2.8 + 0.0 -3.6 + -8.6q = -2.8 Add '3.6' to each side of the equation. -3.6 + 3.6 + -8.6q = -2.8 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + -8.6q = -2.8 + 3.6 -8.6q = -2.8 + 3.6 Combine like terms: -2.8 + 3.6 = 0.8 -8.6q = 0.8 Divide each side by '-8.6'. q = -0.09302325581 Simplifying q = -0.09302325581
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