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Simplifying 2.3q + -4.7 + 0.6(3q + 6) = 0.7(3 + -1q) Reorder the terms: 2.3q + -4.7 + 0.6(6 + 3q) = 0.7(3 + -1q) 2.3q + -4.7 + (6 * 0.6 + 3q * 0.6) = 0.7(3 + -1q) 2.3q + -4.7 + (3.6 + 1.8q) = 0.7(3 + -1q) Reorder the terms: -4.7 + 3.6 + 2.3q + 1.8q = 0.7(3 + -1q) Combine like terms: -4.7 + 3.6 = -1.1 -1.1 + 2.3q + 1.8q = 0.7(3 + -1q) Combine like terms: 2.3q + 1.8q = 4.1q -1.1 + 4.1q = 0.7(3 + -1q) -1.1 + 4.1q = (3 * 0.7 + -1q * 0.7) -1.1 + 4.1q = (2.1 + -0.7q) Solving -1.1 + 4.1q = 2.1 + -0.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.7q' to each side of the equation. -1.1 + 4.1q + 0.7q = 2.1 + -0.7q + 0.7q Combine like terms: 4.1q + 0.7q = 4.8q -1.1 + 4.8q = 2.1 + -0.7q + 0.7q Combine like terms: -0.7q + 0.7q = 0.0 -1.1 + 4.8q = 2.1 + 0.0 -1.1 + 4.8q = 2.1 Add '1.1' to each side of the equation. -1.1 + 1.1 + 4.8q = 2.1 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 4.8q = 2.1 + 1.1 4.8q = 2.1 + 1.1 Combine like terms: 2.1 + 1.1 = 3.2 4.8q = 3.2 Divide each side by '4.8'. q = 0.6666666667 Simplifying q = 0.6666666667
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