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Simplifying 4(1 + 5.8q) = 2.8 + 21.8q (1 * 4 + 5.8q * 4) = 2.8 + 21.8q (4 + 23.2q) = 2.8 + 21.8q Solving 4 + 23.2q = 2.8 + 21.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-21.8q' to each side of the equation. 4 + 23.2q + -21.8q = 2.8 + 21.8q + -21.8q Combine like terms: 23.2q + -21.8q = 1.4q 4 + 1.4q = 2.8 + 21.8q + -21.8q Combine like terms: 21.8q + -21.8q = 0.0 4 + 1.4q = 2.8 + 0.0 4 + 1.4q = 2.8 Add '-4' to each side of the equation. 4 + -4 + 1.4q = 2.8 + -4 Combine like terms: 4 + -4 = 0 0 + 1.4q = 2.8 + -4 1.4q = 2.8 + -4 Combine like terms: 2.8 + -4 = -1.2 1.4q = -1.2 Divide each side by '1.4'. q = -0.8571428571 Simplifying q = -0.8571428571
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