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