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Simplifying 2(-4q + 1) = 5(3) Reorder the terms: 2(1 + -4q) = 5(3) (1 * 2 + -4q * 2) = 5(3) (2 + -8q) = 5(3) Multiply 5 * 3 2 + -8q = 15 Solving 2 + -8q = 15 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -8q = 15 + -2 Combine like terms: 2 + -2 = 0 0 + -8q = 15 + -2 -8q = 15 + -2 Combine like terms: 15 + -2 = 13 -8q = 13 Divide each side by '-8'. q = -1.625 Simplifying q = -1.625
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