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Simplifying -2(2q + 4) + 3(q + -5) = 0 Reorder the terms: -2(4 + 2q) + 3(q + -5) = 0 (4 * -2 + 2q * -2) + 3(q + -5) = 0 (-8 + -4q) + 3(q + -5) = 0 Reorder the terms: -8 + -4q + 3(-5 + q) = 0 -8 + -4q + (-5 * 3 + q * 3) = 0 -8 + -4q + (-15 + 3q) = 0 Reorder the terms: -8 + -15 + -4q + 3q = 0 Combine like terms: -8 + -15 = -23 -23 + -4q + 3q = 0 Combine like terms: -4q + 3q = -1q -23 + -1q = 0 Solving -23 + -1q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -1q = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -1q = 0 + 23 -1q = 0 + 23 Combine like terms: 0 + 23 = 23 -1q = 23 Divide each side by '-1'. q = -23 Simplifying q = -23
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