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Simplifying -6(4q + 9) + 4(q + -6) = 0 Reorder the terms: -6(9 + 4q) + 4(q + -6) = 0 (9 * -6 + 4q * -6) + 4(q + -6) = 0 (-54 + -24q) + 4(q + -6) = 0 Reorder the terms: -54 + -24q + 4(-6 + q) = 0 -54 + -24q + (-6 * 4 + q * 4) = 0 -54 + -24q + (-24 + 4q) = 0 Reorder the terms: -54 + -24 + -24q + 4q = 0 Combine like terms: -54 + -24 = -78 -78 + -24q + 4q = 0 Combine like terms: -24q + 4q = -20q -78 + -20q = 0 Solving -78 + -20q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + -20q = 0 + 78 Combine like terms: -78 + 78 = 0 0 + -20q = 0 + 78 -20q = 0 + 78 Combine like terms: 0 + 78 = 78 -20q = 78 Divide each side by '-20'. q = -3.9 Simplifying q = -3.9
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