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Simplifying 4.3q + -4.2 + -4.6q = -1.3q + -1.2 Reorder the terms: -4.2 + 4.3q + -4.6q = -1.3q + -1.2 Combine like terms: 4.3q + -4.6q = -0.3q -4.2 + -0.3q = -1.3q + -1.2 Reorder the terms: -4.2 + -0.3q = -1.2 + -1.3q Solving -4.2 + -0.3q = -1.2 + -1.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.3q' to each side of the equation. -4.2 + -0.3q + 1.3q = -1.2 + -1.3q + 1.3q Combine like terms: -0.3q + 1.3q = 1q -4.2 + 1q = -1.2 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 -4.2 + 1q = -1.2 + 0.0 -4.2 + 1q = -1.2 Add '4.2' to each side of the equation. -4.2 + 4.2 + 1q = -1.2 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 1q = -1.2 + 4.2 1q = -1.2 + 4.2 Combine like terms: -1.2 + 4.2 = 3 1q = 3 Divide each side by '1'. q = 3 Simplifying q = 3
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