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Simplifying -4(2q + 8) + 5(q + -6) = 0 Reorder the terms: -4(8 + 2q) + 5(q + -6) = 0 (8 * -4 + 2q * -4) + 5(q + -6) = 0 (-32 + -8q) + 5(q + -6) = 0 Reorder the terms: -32 + -8q + 5(-6 + q) = 0 -32 + -8q + (-6 * 5 + q * 5) = 0 -32 + -8q + (-30 + 5q) = 0 Reorder the terms: -32 + -30 + -8q + 5q = 0 Combine like terms: -32 + -30 = -62 -62 + -8q + 5q = 0 Combine like terms: -8q + 5q = -3q -62 + -3q = 0 Solving -62 + -3q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + -3q = 0 + 62 Combine like terms: -62 + 62 = 0 0 + -3q = 0 + 62 -3q = 0 + 62 Combine like terms: 0 + 62 = 62 -3q = 62 Divide each side by '-3'. q = -20.66666667 Simplifying q = -20.66666667
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