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Simplifying 14 + 5r + 6p + -3r + -2p + -21 = 0 Reorder the terms: 14 + -21 + 6p + -2p + 5r + -3r = 0 Combine like terms: 14 + -21 = -7 -7 + 6p + -2p + 5r + -3r = 0 Combine like terms: 6p + -2p = 4p -7 + 4p + 5r + -3r = 0 Combine like terms: 5r + -3r = 2r -7 + 4p + 2r = 0 Solving -7 + 4p + 2r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 4p + 7 + 2r = 0 + 7 Reorder the terms: -7 + 7 + 4p + 2r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4p + 2r = 0 + 7 4p + 2r = 0 + 7 Combine like terms: 0 + 7 = 7 4p + 2r = 7 Add '-2r' to each side of the equation. 4p + 2r + -2r = 7 + -2r Combine like terms: 2r + -2r = 0 4p + 0 = 7 + -2r 4p = 7 + -2r Divide each side by '4'. p = 1.75 + -0.5r Simplifying p = 1.75 + -0.5r
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