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Simplifying 1.4q + -4.2 + -1.6q = -1.2q + -2.7 Reorder the terms: -4.2 + 1.4q + -1.6q = -1.2q + -2.7 Combine like terms: 1.4q + -1.6q = -0.2q -4.2 + -0.2q = -1.2q + -2.7 Reorder the terms: -4.2 + -0.2q = -2.7 + -1.2q Solving -4.2 + -0.2q = -2.7 + -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. -4.2 + -0.2q + 1.2q = -2.7 + -1.2q + 1.2q Combine like terms: -0.2q + 1.2q = 1q -4.2 + 1q = -2.7 + -1.2q + 1.2q Combine like terms: -1.2q + 1.2q = 0.0 -4.2 + 1q = -2.7 + 0.0 -4.2 + 1q = -2.7 Add '4.2' to each side of the equation. -4.2 + 4.2 + 1q = -2.7 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 1q = -2.7 + 4.2 1q = -2.7 + 4.2 Combine like terms: -2.7 + 4.2 = 1.5 1q = 1.5 Divide each side by '1'. q = 1.5 Simplifying q = 1.5
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