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Simplifying 8 + -1p + 0.1r = 4 + p + -12n Reorder the terms: 8 + -1p + 0.1r = 4 + -12n + p Solving 8 + -1p + 0.1r = 4 + -12n + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 8 + -1p + -1p + 0.1r = 4 + -12n + p + -1p Combine like terms: -1p + -1p = -2p 8 + -2p + 0.1r = 4 + -12n + p + -1p Combine like terms: p + -1p = 0 8 + -2p + 0.1r = 4 + -12n + 0 8 + -2p + 0.1r = 4 + -12n Add '-8' to each side of the equation. 8 + -2p + -8 + 0.1r = 4 + -8 + -12n Reorder the terms: 8 + -8 + -2p + 0.1r = 4 + -8 + -12n Combine like terms: 8 + -8 = 0 0 + -2p + 0.1r = 4 + -8 + -12n -2p + 0.1r = 4 + -8 + -12n Combine like terms: 4 + -8 = -4 -2p + 0.1r = -4 + -12n Add '-0.1r' to each side of the equation. -2p + 0.1r + -0.1r = -4 + -12n + -0.1r Combine like terms: 0.1r + -0.1r = 0.0 -2p + 0.0 = -4 + -12n + -0.1r -2p = -4 + -12n + -0.1r Divide each side by '-2'. p = 2 + 6n + 0.05r Simplifying p = 2 + 6n + 0.05r
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