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Simplifying 6(q + -4) = 3(q + 8) Reorder the terms: 6(-4 + q) = 3(q + 8) (-4 * 6 + q * 6) = 3(q + 8) (-24 + 6q) = 3(q + 8) Reorder the terms: -24 + 6q = 3(8 + q) -24 + 6q = (8 * 3 + q * 3) -24 + 6q = (24 + 3q) Solving -24 + 6q = 24 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -24 + 6q + -3q = 24 + 3q + -3q Combine like terms: 6q + -3q = 3q -24 + 3q = 24 + 3q + -3q Combine like terms: 3q + -3q = 0 -24 + 3q = 24 + 0 -24 + 3q = 24 Add '24' to each side of the equation. -24 + 24 + 3q = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 3q = 24 + 24 3q = 24 + 24 Combine like terms: 24 + 24 = 48 3q = 48 Divide each side by '3'. q = 16 Simplifying q = 16
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