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Simplifying 1p + -1 = 5p + 3p + -8 Reorder the terms: -1 + 1p = 5p + 3p + -8 Reorder the terms: -1 + 1p = -8 + 5p + 3p Combine like terms: 5p + 3p = 8p -1 + 1p = -8 + 8p Solving -1 + 1p = -8 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -1 + 1p + -8p = -8 + 8p + -8p Combine like terms: 1p + -8p = -7p -1 + -7p = -8 + 8p + -8p Combine like terms: 8p + -8p = 0 -1 + -7p = -8 + 0 -1 + -7p = -8 Add '1' to each side of the equation. -1 + 1 + -7p = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -7p = -8 + 1 -7p = -8 + 1 Combine like terms: -8 + 1 = -7 -7p = -7 Divide each side by '-7'. p = 1 Simplifying p = 1
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