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Simplifying 3(2q + 7) = 15(p + -4) Reorder the terms: 3(7 + 2q) = 15(p + -4) (7 * 3 + 2q * 3) = 15(p + -4) (21 + 6q) = 15(p + -4) Reorder the terms: 21 + 6q = 15(-4 + p) 21 + 6q = (-4 * 15 + p * 15) 21 + 6q = (-60 + 15p) Solving 21 + 6q = -60 + 15p Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 6q = -60 + -21 + 15p Combine like terms: 21 + -21 = 0 0 + 6q = -60 + -21 + 15p 6q = -60 + -21 + 15p Combine like terms: -60 + -21 = -81 6q = -81 + 15p Divide each side by '6'. q = -13.5 + 2.5p Simplifying q = -13.5 + 2.5p
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