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Simplifying -2(3q + 5) + 2(q + -3) = 0 Reorder the terms: -2(5 + 3q) + 2(q + -3) = 0 (5 * -2 + 3q * -2) + 2(q + -3) = 0 (-10 + -6q) + 2(q + -3) = 0 Reorder the terms: -10 + -6q + 2(-3 + q) = 0 -10 + -6q + (-3 * 2 + q * 2) = 0 -10 + -6q + (-6 + 2q) = 0 Reorder the terms: -10 + -6 + -6q + 2q = 0 Combine like terms: -10 + -6 = -16 -16 + -6q + 2q = 0 Combine like terms: -6q + 2q = -4q -16 + -4q = 0 Solving -16 + -4q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -4q = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -4q = 0 + 16 -4q = 0 + 16 Combine like terms: 0 + 16 = 16 -4q = 16 Divide each side by '-4'. q = -4 Simplifying q = -4
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