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Simplifying 3q + (-3)(1 + -1q) = 2q + (-2)(1 + -1q) 3q + (1 * -3 + -1q * -3) = 2q + (-2)(1 + -1q) 3q + (-3 + 3q) = 2q + (-2)(1 + -1q) Reorder the terms: -3 + 3q + 3q = 2q + (-2)(1 + -1q) Combine like terms: 3q + 3q = 6q -3 + 6q = 2q + (-2)(1 + -1q) -3 + 6q = 2q + (1 * -2 + -1q * -2) -3 + 6q = 2q + (-2 + 2q) Reorder the terms: -3 + 6q = -2 + 2q + 2q Combine like terms: 2q + 2q = 4q -3 + 6q = -2 + 4q Solving -3 + 6q = -2 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -3 + 6q + -4q = -2 + 4q + -4q Combine like terms: 6q + -4q = 2q -3 + 2q = -2 + 4q + -4q Combine like terms: 4q + -4q = 0 -3 + 2q = -2 + 0 -3 + 2q = -2 Add '3' to each side of the equation. -3 + 3 + 2q = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 2q = -2 + 3 2q = -2 + 3 Combine like terms: -2 + 3 = 1 2q = 1 Divide each side by '2'. q = 0.5 Simplifying q = 0.5
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