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Simplifying 7 + 5q + -1(5q + 1) + -1(2q + 7) = 0 Reorder the terms: 7 + 5q + -1(1 + 5q) + -1(2q + 7) = 0 7 + 5q + (1 * -1 + 5q * -1) + -1(2q + 7) = 0 7 + 5q + (-1 + -5q) + -1(2q + 7) = 0 Reorder the terms: 7 + 5q + -1 + -5q + -1(7 + 2q) = 0 7 + 5q + -1 + -5q + (7 * -1 + 2q * -1) = 0 7 + 5q + -1 + -5q + (-7 + -2q) = 0 Reorder the terms: 7 + -1 + -7 + 5q + -5q + -2q = 0 Combine like terms: 7 + -1 = 6 6 + -7 + 5q + -5q + -2q = 0 Combine like terms: 6 + -7 = -1 -1 + 5q + -5q + -2q = 0 Combine like terms: 5q + -5q = 0 -1 + 0 + -2q = 0 -1 + -2q = 0 Solving -1 + -2q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2q = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2q = 0 + 1 -2q = 0 + 1 Combine like terms: 0 + 1 = 1 -2q = 1 Divide each side by '-2'. q = -0.5 Simplifying q = -0.5
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