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Simplifying 1.5q + -2.8 + -2.6q = -2.1q + -4.7 Reorder the terms: -2.8 + 1.5q + -2.6q = -2.1q + -4.7 Combine like terms: 1.5q + -2.6q = -1.1q -2.8 + -1.1q = -2.1q + -4.7 Reorder the terms: -2.8 + -1.1q = -4.7 + -2.1q Solving -2.8 + -1.1q = -4.7 + -2.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.1q' to each side of the equation. -2.8 + -1.1q + 2.1q = -4.7 + -2.1q + 2.1q Combine like terms: -1.1q + 2.1q = 1q -2.8 + 1q = -4.7 + -2.1q + 2.1q Combine like terms: -2.1q + 2.1q = 0.0 -2.8 + 1q = -4.7 + 0.0 -2.8 + 1q = -4.7 Add '2.8' to each side of the equation. -2.8 + 2.8 + 1q = -4.7 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 1q = -4.7 + 2.8 1q = -4.7 + 2.8 Combine like terms: -4.7 + 2.8 = -1.9 1q = -1.9 Divide each side by '1'. q = -1.9 Simplifying q = -1.9
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