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Simplifying 8 + 2q + -1(5q + 5) + -1(3q + 5) = 0 Reorder the terms: 8 + 2q + -1(5 + 5q) + -1(3q + 5) = 0 8 + 2q + (5 * -1 + 5q * -1) + -1(3q + 5) = 0 8 + 2q + (-5 + -5q) + -1(3q + 5) = 0 Reorder the terms: 8 + 2q + -5 + -5q + -1(5 + 3q) = 0 8 + 2q + -5 + -5q + (5 * -1 + 3q * -1) = 0 8 + 2q + -5 + -5q + (-5 + -3q) = 0 Reorder the terms: 8 + -5 + -5 + 2q + -5q + -3q = 0 Combine like terms: 8 + -5 = 3 3 + -5 + 2q + -5q + -3q = 0 Combine like terms: 3 + -5 = -2 -2 + 2q + -5q + -3q = 0 Combine like terms: 2q + -5q = -3q -2 + -3q + -3q = 0 Combine like terms: -3q + -3q = -6q -2 + -6q = 0 Solving -2 + -6q = 0 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 + -6q = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -6q = 0 + 2 -6q = 0 + 2 Combine like terms: 0 + 2 = 2 -6q = 2 Divide each side by '-6'. q = -0.3333333333 Simplifying q = -0.3333333333
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