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Simplifying 5q + -2(1 + -1q) = 3q 5q + (1 * -2 + -1q * -2) = 3q 5q + (-2 + 2q) = 3q Reorder the terms: -2 + 5q + 2q = 3q Combine like terms: 5q + 2q = 7q -2 + 7q = 3q Solving -2 + 7q = 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -2 + 7q + -3q = 3q + -3q Combine like terms: 7q + -3q = 4q -2 + 4q = 3q + -3q Combine like terms: 3q + -3q = 0 -2 + 4q = 0 Add '2' to each side of the equation. -2 + 2 + 4q = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4q = 0 + 2 4q = 0 + 2 Combine like terms: 0 + 2 = 2 4q = 2 Divide each side by '4'. q = 0.5 Simplifying q = 0.5
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