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Simplifying -6(q + 34) = -54 Reorder the terms: -6(34 + q) = -54 (34 * -6 + q * -6) = -54 (-204 + -6q) = -54 Solving -204 + -6q = -54 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '204' to each side of the equation. -204 + 204 + -6q = -54 + 204 Combine like terms: -204 + 204 = 0 0 + -6q = -54 + 204 -6q = -54 + 204 Combine like terms: -54 + 204 = 150 -6q = 150 Divide each side by '-6'. q = -25 Simplifying q = -25
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