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Simplifying 7.8q + -4.43 = 4.3q + -16.42 + 11.5q Reorder the terms: -4.43 + 7.8q = 4.3q + -16.42 + 11.5q Reorder the terms: -4.43 + 7.8q = -16.42 + 4.3q + 11.5q Combine like terms: 4.3q + 11.5q = 15.8q -4.43 + 7.8q = -16.42 + 15.8q Solving -4.43 + 7.8q = -16.42 + 15.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15.8q' to each side of the equation. -4.43 + 7.8q + -15.8q = -16.42 + 15.8q + -15.8q Combine like terms: 7.8q + -15.8q = -8q -4.43 + -8q = -16.42 + 15.8q + -15.8q Combine like terms: 15.8q + -15.8q = 0.0 -4.43 + -8q = -16.42 + 0.0 -4.43 + -8q = -16.42 Add '4.43' to each side of the equation. -4.43 + 4.43 + -8q = -16.42 + 4.43 Combine like terms: -4.43 + 4.43 = 0.00 0.00 + -8q = -16.42 + 4.43 -8q = -16.42 + 4.43 Combine like terms: -16.42 + 4.43 = -11.99 -8q = -11.99 Divide each side by '-8'. q = 1.49875 Simplifying q = 1.49875
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