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Simplifying 1.5 + -3.2 + -1.2q = -0.7q + -4.7 Combine like terms: 1.5 + -3.2 = -1.7 -1.7 + -1.2q = -0.7q + -4.7 Reorder the terms: -1.7 + -1.2q = -4.7 + -0.7q Solving -1.7 + -1.2q = -4.7 + -0.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.7q' to each side of the equation. -1.7 + -1.2q + 0.7q = -4.7 + -0.7q + 0.7q Combine like terms: -1.2q + 0.7q = -0.5q -1.7 + -0.5q = -4.7 + -0.7q + 0.7q Combine like terms: -0.7q + 0.7q = 0.0 -1.7 + -0.5q = -4.7 + 0.0 -1.7 + -0.5q = -4.7 Add '1.7' to each side of the equation. -1.7 + 1.7 + -0.5q = -4.7 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + -0.5q = -4.7 + 1.7 -0.5q = -4.7 + 1.7 Combine like terms: -4.7 + 1.7 = -3 -0.5q = -3 Divide each side by '-0.5'. q = 6 Simplifying q = 6
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