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Simplifying 4(-10q + 2) + -2 = 1 + -2q Reorder the terms: 4(2 + -10q) + -2 = 1 + -2q (2 * 4 + -10q * 4) + -2 = 1 + -2q (8 + -40q) + -2 = 1 + -2q Reorder the terms: 8 + -2 + -40q = 1 + -2q Combine like terms: 8 + -2 = 6 6 + -40q = 1 + -2q Solving 6 + -40q = 1 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. 6 + -40q + 2q = 1 + -2q + 2q Combine like terms: -40q + 2q = -38q 6 + -38q = 1 + -2q + 2q Combine like terms: -2q + 2q = 0 6 + -38q = 1 + 0 6 + -38q = 1 Add '-6' to each side of the equation. 6 + -6 + -38q = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -38q = 1 + -6 -38q = 1 + -6 Combine like terms: 1 + -6 = -5 -38q = -5 Divide each side by '-38'. q = 0.1315789474 Simplifying q = 0.1315789474
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