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Simplifying 4.4q + -1.7 + -5.1q = 1.7q + -1.4 Reorder the terms: -1.7 + 4.4q + -5.1q = 1.7q + -1.4 Combine like terms: 4.4q + -5.1q = -0.7q -1.7 + -0.7q = 1.7q + -1.4 Reorder the terms: -1.7 + -0.7q = -1.4 + 1.7q Solving -1.7 + -0.7q = -1.4 + 1.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.7q' to each side of the equation. -1.7 + -0.7q + -1.7q = -1.4 + 1.7q + -1.7q Combine like terms: -0.7q + -1.7q = -2.4q -1.7 + -2.4q = -1.4 + 1.7q + -1.7q Combine like terms: 1.7q + -1.7q = 0.0 -1.7 + -2.4q = -1.4 + 0.0 -1.7 + -2.4q = -1.4 Add '1.7' to each side of the equation. -1.7 + 1.7 + -2.4q = -1.4 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + -2.4q = -1.4 + 1.7 -2.4q = -1.4 + 1.7 Combine like terms: -1.4 + 1.7 = 0.3 -2.4q = 0.3 Divide each side by '-2.4'. q = -0.125 Simplifying q = -0.125
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