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Simplifying 4(2q + -1.6) = 5q + -6.4 Reorder the terms: 4(-1.6 + 2q) = 5q + -6.4 (-1.6 * 4 + 2q * 4) = 5q + -6.4 (-6.4 + 8q) = 5q + -6.4 Reorder the terms: -6.4 + 8q = -6.4 + 5q Add '6.4' to each side of the equation. -6.4 + 6.4 + 8q = -6.4 + 6.4 + 5q Combine like terms: -6.4 + 6.4 = 0.0 0.0 + 8q = -6.4 + 6.4 + 5q 8q = -6.4 + 6.4 + 5q Combine like terms: -6.4 + 6.4 = 0.0 8q = 0.0 + 5q 8q = 5q Solving 8q = 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 8q + -5q = 5q + -5q Combine like terms: 8q + -5q = 3q 3q = 5q + -5q Combine like terms: 5q + -5q = 0 3q = 0 Divide each side by '3'. q = 0 Simplifying q = 0
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