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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) Reorder the terms: 2.4 = 4 + -16.4q + 17.2q Combine like terms: -16.4q + 17.2q = 0.8q 2.4 = 4 + 0.8q Solving 2.4 = 4 + 0.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.8q' to each side of the equation. 2.4 + -0.8q = 4 + 0.8q + -0.8q Combine like terms: 0.8q + -0.8q = 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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