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Simplifying -2(6q + 4) + 4(q + -6) = 0 Reorder the terms: -2(4 + 6q) + 4(q + -6) = 0 (4 * -2 + 6q * -2) + 4(q + -6) = 0 (-8 + -12q) + 4(q + -6) = 0 Reorder the terms: -8 + -12q + 4(-6 + q) = 0 -8 + -12q + (-6 * 4 + q * 4) = 0 -8 + -12q + (-24 + 4q) = 0 Reorder the terms: -8 + -24 + -12q + 4q = 0 Combine like terms: -8 + -24 = -32 -32 + -12q + 4q = 0 Combine like terms: -12q + 4q = -8q -32 + -8q = 0 Solving -32 + -8q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -8q = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -8q = 0 + 32 -8q = 0 + 32 Combine like terms: 0 + 32 = 32 -8q = 32 Divide each side by '-8'. q = -4 Simplifying q = -4
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