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Simplifying 6p + 2 + p + -3 = 8p + -8 Reorder the terms: 2 + -3 + 6p + p = 8p + -8 Combine like terms: 2 + -3 = -1 -1 + 6p + p = 8p + -8 Combine like terms: 6p + p = 7p -1 + 7p = 8p + -8 Reorder the terms: -1 + 7p = -8 + 8p Solving -1 + 7p = -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 + 7p + -8p = -8 + 8p + -8p Combine like terms: 7p + -8p = -1p -1 + -1p = -8 + 8p + -8p Combine like terms: 8p + -8p = 0 -1 + -1p = -8 + 0 -1 + -1p = -8 Add '1' to each side of the equation. -1 + 1 + -1p = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -1p = -8 + 1 -1p = -8 + 1 Combine like terms: -8 + 1 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7
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