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Simplifying -4(4q + 9) + 4(q + -7) = 0 Reorder the terms: -4(9 + 4q) + 4(q + -7) = 0 (9 * -4 + 4q * -4) + 4(q + -7) = 0 (-36 + -16q) + 4(q + -7) = 0 Reorder the terms: -36 + -16q + 4(-7 + q) = 0 -36 + -16q + (-7 * 4 + q * 4) = 0 -36 + -16q + (-28 + 4q) = 0 Reorder the terms: -36 + -28 + -16q + 4q = 0 Combine like terms: -36 + -28 = -64 -64 + -16q + 4q = 0 Combine like terms: -16q + 4q = -12q -64 + -12q = 0 Solving -64 + -12q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -12q = 0 + 64 Combine like terms: -64 + 64 = 0 0 + -12q = 0 + 64 -12q = 0 + 64 Combine like terms: 0 + 64 = 64 -12q = 64 Divide each side by '-12'. q = -5.333333333 Simplifying q = -5.333333333
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