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Simplifying 1.3q + -4.7 + -2.8q = 0.5q + -4.7 Reorder the terms: -4.7 + 1.3q + -2.8q = 0.5q + -4.7 Combine like terms: 1.3q + -2.8q = -1.5q -4.7 + -1.5q = 0.5q + -4.7 Reorder the terms: -4.7 + -1.5q = -4.7 + 0.5q Add '4.7' to each side of the equation. -4.7 + 4.7 + -1.5q = -4.7 + 4.7 + 0.5q Combine like terms: -4.7 + 4.7 = 0.0 0.0 + -1.5q = -4.7 + 4.7 + 0.5q -1.5q = -4.7 + 4.7 + 0.5q Combine like terms: -4.7 + 4.7 = 0.0 -1.5q = 0.0 + 0.5q -1.5q = 0.5q Solving -1.5q = 0.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.5q' to each side of the equation. -1.5q + -0.5q = 0.5q + -0.5q Combine like terms: -1.5q + -0.5q = -2q -2q = 0.5q + -0.5q Combine like terms: 0.5q + -0.5q = 0.0 -2q = 0.0 Divide each side by '-2'. q = 0.0 Simplifying q = 0.0
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