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Simplifying r + p + 2 = 3r + -4 + -3p Reorder the terms: 2 + p + r = 3r + -4 + -3p Reorder the terms: 2 + p + r = -4 + -3p + 3r Solving 2 + p + r = -4 + -3p + 3r Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 2 + p + 3p + r = -4 + -3p + 3p + 3r Combine like terms: p + 3p = 4p 2 + 4p + r = -4 + -3p + 3p + 3r Combine like terms: -3p + 3p = 0 2 + 4p + r = -4 + 0 + 3r 2 + 4p + r = -4 + 3r Add '-2' to each side of the equation. 2 + 4p + -2 + r = -4 + -2 + 3r Reorder the terms: 2 + -2 + 4p + r = -4 + -2 + 3r Combine like terms: 2 + -2 = 0 0 + 4p + r = -4 + -2 + 3r 4p + r = -4 + -2 + 3r Combine like terms: -4 + -2 = -6 4p + r = -6 + 3r Add '-1r' to each side of the equation. 4p + r + -1r = -6 + 3r + -1r Combine like terms: r + -1r = 0 4p + 0 = -6 + 3r + -1r 4p = -6 + 3r + -1r Combine like terms: 3r + -1r = 2r 4p = -6 + 2r Divide each side by '4'. p = -1.5 + 0.5r Simplifying p = -1.5 + 0.5r
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