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Simplifying 5.2q + -4.7 + -5.4q = -1.2q + -4.6 Reorder the terms: -4.7 + 5.2q + -5.4q = -1.2q + -4.6 Combine like terms: 5.2q + -5.4q = -0.2q -4.7 + -0.2q = -1.2q + -4.6 Reorder the terms: -4.7 + -0.2q = -4.6 + -1.2q Solving -4.7 + -0.2q = -4.6 + -1.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.2q' to each side of the equation. -4.7 + -0.2q + 1.2q = -4.6 + -1.2q + 1.2q Combine like terms: -0.2q + 1.2q = 1q -4.7 + 1q = -4.6 + -1.2q + 1.2q Combine like terms: -1.2q + 1.2q = 0.0 -4.7 + 1q = -4.6 + 0.0 -4.7 + 1q = -4.6 Add '4.7' to each side of the equation. -4.7 + 4.7 + 1q = -4.6 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + 1q = -4.6 + 4.7 1q = -4.6 + 4.7 Combine like terms: -4.6 + 4.7 = 0.1 1q = 0.1 Divide each side by '1'. q = 0.1 Simplifying q = 0.1
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