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Simplifying -2(6q + 9) + 4(q + -3) = 0 Reorder the terms: -2(9 + 6q) + 4(q + -3) = 0 (9 * -2 + 6q * -2) + 4(q + -3) = 0 (-18 + -12q) + 4(q + -3) = 0 Reorder the terms: -18 + -12q + 4(-3 + q) = 0 -18 + -12q + (-3 * 4 + q * 4) = 0 -18 + -12q + (-12 + 4q) = 0 Reorder the terms: -18 + -12 + -12q + 4q = 0 Combine like terms: -18 + -12 = -30 -30 + -12q + 4q = 0 Combine like terms: -12q + 4q = -8q -30 + -8q = 0 Solving -30 + -8q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -8q = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -8q = 0 + 30 -8q = 0 + 30 Combine like terms: 0 + 30 = 30 -8q = 30 Divide each side by '-8'. q = -3.75 Simplifying q = -3.75
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