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Simplifying 6 + -1p + 0.14 = 8 + p + -12 Reorder the terms: 6 + 0.14 + -1p = 8 + p + -12 Combine like terms: 6 + 0.14 = 6.14 6.14 + -1p = 8 + p + -12 Reorder the terms: 6.14 + -1p = 8 + -12 + p Combine like terms: 8 + -12 = -4 6.14 + -1p = -4 + p Solving 6.14 + -1p = -4 + 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. 6.14 + -1p + -1p = -4 + p + -1p Combine like terms: -1p + -1p = -2p 6.14 + -2p = -4 + p + -1p Combine like terms: p + -1p = 0 6.14 + -2p = -4 + 0 6.14 + -2p = -4 Add '-6.14' to each side of the equation. 6.14 + -6.14 + -2p = -4 + -6.14 Combine like terms: 6.14 + -6.14 = 0.00 0.00 + -2p = -4 + -6.14 -2p = -4 + -6.14 Combine like terms: -4 + -6.14 = -10.14 -2p = -10.14 Divide each side by '-2'. p = 5.07 Simplifying p = 5.07
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