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Simplifying 2(0.8 + -9.3q) = 3.6 + -32.6q (0.8 * 2 + -9.3q * 2) = 3.6 + -32.6q (1.6 + -18.6q) = 3.6 + -32.6q Solving 1.6 + -18.6q = 3.6 + -32.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '32.6q' to each side of the equation. 1.6 + -18.6q + 32.6q = 3.6 + -32.6q + 32.6q Combine like terms: -18.6q + 32.6q = 14q 1.6 + 14q = 3.6 + -32.6q + 32.6q Combine like terms: -32.6q + 32.6q = 0.0 1.6 + 14q = 3.6 + 0.0 1.6 + 14q = 3.6 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 14q = 3.6 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 14q = 3.6 + -1.6 14q = 3.6 + -1.6 Combine like terms: 3.6 + -1.6 = 2 14q = 2 Divide each side by '14'. q = 0.1428571429 Simplifying q = 0.1428571429
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