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Simplifying 6q + -81 = 3q + 15 Reorder the terms: -81 + 6q = 3q + 15 Reorder the terms: -81 + 6q = 15 + 3q Solving -81 + 6q = 15 + 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. -81 + 6q + -3q = 15 + 3q + -3q Combine like terms: 6q + -3q = 3q -81 + 3q = 15 + 3q + -3q Combine like terms: 3q + -3q = 0 -81 + 3q = 15 + 0 -81 + 3q = 15 Add '81' to each side of the equation. -81 + 81 + 3q = 15 + 81 Combine like terms: -81 + 81 = 0 0 + 3q = 15 + 81 3q = 15 + 81 Combine like terms: 15 + 81 = 96 3q = 96 Divide each side by '3'. q = 32 Simplifying q = 32
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