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Simplifying (q + -8) * 6 = 54 Reorder the terms: (-8 + q) * 6 = 54 Reorder the terms for easier multiplication: 6(-8 + q) = 54 (-8 * 6 + q * 6) = 54 (-48 + 6q) = 54 Solving -48 + 6q = 54 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 6q = 54 + 48 Combine like terms: -48 + 48 = 0 0 + 6q = 54 + 48 6q = 54 + 48 Combine like terms: 54 + 48 = 102 6q = 102 Divide each side by '6'. q = 17 Simplifying q = 17
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