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Simplifying -2(2q + 5) + 2(q + -7) = 0 Reorder the terms: -2(5 + 2q) + 2(q + -7) = 0 (5 * -2 + 2q * -2) + 2(q + -7) = 0 (-10 + -4q) + 2(q + -7) = 0 Reorder the terms: -10 + -4q + 2(-7 + q) = 0 -10 + -4q + (-7 * 2 + q * 2) = 0 -10 + -4q + (-14 + 2q) = 0 Reorder the terms: -10 + -14 + -4q + 2q = 0 Combine like terms: -10 + -14 = -24 -24 + -4q + 2q = 0 Combine like terms: -4q + 2q = -2q -24 + -2q = 0 Solving -24 + -2q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -2q = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -2q = 0 + 24 -2q = 0 + 24 Combine like terms: 0 + 24 = 24 -2q = 24 Divide each side by '-2'. q = -12 Simplifying q = -12
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