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Simplifying 3(r + -2p) = 8(2r + -3) Reorder the terms: 3(-2p + r) = 8(2r + -3) (-2p * 3 + r * 3) = 8(2r + -3) (-6p + 3r) = 8(2r + -3) Reorder the terms: -6p + 3r = 8(-3 + 2r) -6p + 3r = (-3 * 8 + 2r * 8) -6p + 3r = (-24 + 16r) Solving -6p + 3r = -24 + 16r Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3r' to each side of the equation. -6p + 3r + -3r = -24 + 16r + -3r Combine like terms: 3r + -3r = 0 -6p + 0 = -24 + 16r + -3r -6p = -24 + 16r + -3r Combine like terms: 16r + -3r = 13r -6p = -24 + 13r Divide each side by '-6'. p = 4 + -2.166666667r Simplifying p = 4 + -2.166666667r
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