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Simplifying 5.2 = 9.4q + 1.6(-4q + 2) Reorder the terms: 5.2 = 9.4q + 1.6(2 + -4q) 5.2 = 9.4q + (2 * 1.6 + -4q * 1.6) 5.2 = 9.4q + (3.2 + -6.4q) Reorder the terms: 5.2 = 3.2 + 9.4q + -6.4q Combine like terms: 9.4q + -6.4q = 3q 5.2 = 3.2 + 3q Solving 5.2 = 3.2 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 5.2 + -3q = 3.2 + 3q + -3q Combine like terms: 3q + -3q = 0 5.2 + -3q = 3.2 + 0 5.2 + -3q = 3.2 Add '-5.2' to each side of the equation. 5.2 + -5.2 + -3q = 3.2 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -3q = 3.2 + -5.2 -3q = 3.2 + -5.2 Combine like terms: 3.2 + -5.2 = -2 -3q = -2 Divide each side by '-3'. q = 0.6666666667 Simplifying q = 0.6666666667
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