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Simplifying 3.8q + -4.7 + -4.6q = 1.8q + -1.5 Reorder the terms: -4.7 + 3.8q + -4.6q = 1.8q + -1.5 Combine like terms: 3.8q + -4.6q = -0.8q -4.7 + -0.8q = 1.8q + -1.5 Reorder the terms: -4.7 + -0.8q = -1.5 + 1.8q Solving -4.7 + -0.8q = -1.5 + 1.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.8q' to each side of the equation. -4.7 + -0.8q + -1.8q = -1.5 + 1.8q + -1.8q Combine like terms: -0.8q + -1.8q = -2.6q -4.7 + -2.6q = -1.5 + 1.8q + -1.8q Combine like terms: 1.8q + -1.8q = 0.0 -4.7 + -2.6q = -1.5 + 0.0 -4.7 + -2.6q = -1.5 Add '4.7' to each side of the equation. -4.7 + 4.7 + -2.6q = -1.5 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + -2.6q = -1.5 + 4.7 -2.6q = -1.5 + 4.7 Combine like terms: -1.5 + 4.7 = 3.2 -2.6q = 3.2 Divide each side by '-2.6'. q = -1.230769231 Simplifying q = -1.230769231
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