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Simplifying -4(5q + 5) + 4(q + -4) = 0 Reorder the terms: -4(5 + 5q) + 4(q + -4) = 0 (5 * -4 + 5q * -4) + 4(q + -4) = 0 (-20 + -20q) + 4(q + -4) = 0 Reorder the terms: -20 + -20q + 4(-4 + q) = 0 -20 + -20q + (-4 * 4 + q * 4) = 0 -20 + -20q + (-16 + 4q) = 0 Reorder the terms: -20 + -16 + -20q + 4q = 0 Combine like terms: -20 + -16 = -36 -36 + -20q + 4q = 0 Combine like terms: -20q + 4q = -16q -36 + -16q = 0 Solving -36 + -16q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -16q = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -16q = 0 + 36 -16q = 0 + 36 Combine like terms: 0 + 36 = 36 -16q = 36 Divide each side by '-16'. q = -2.25 Simplifying q = -2.25
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