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Simplifying 2.4 + 16.4q = 4[4.3q + 1] Reorder the terms: 2.4 + 16.4q = 4[1 + 4.3q] 2.4 + 16.4q = [1 * 4 + 4.3q * 4] 2.4 + 16.4q = [4 + 17.2q] Solving 2.4 + 16.4q = 4 + 17.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-17.2q' to each side of the equation. 2.4 + 16.4q + -17.2q = 4 + 17.2q + -17.2q Combine like terms: 16.4q + -17.2q = -0.8q 2.4 + -0.8q = 4 + 17.2q + -17.2q Combine like terms: 17.2q + -17.2q = 0.0 2.4 + -0.8q = 4 + 0.0 2.4 + -0.8q = 4 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -0.8q = 4 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -0.8q = 4 + -2.4 -0.8q = 4 + -2.4 Combine like terms: 4 + -2.4 = 1.6 -0.8q = 1.6 Divide each side by '-0.8'. q = -2 Simplifying q = -2
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