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Simplifying 5p + (p + -6) + -4p = p + 6 Reorder the terms: 5p + (-6 + p) + -4p = p + 6 Remove parenthesis around (-6 + p) 5p + -6 + p + -4p = p + 6 Reorder the terms: -6 + 5p + p + -4p = p + 6 Combine like terms: 5p + p = 6p -6 + 6p + -4p = p + 6 Combine like terms: 6p + -4p = 2p -6 + 2p = p + 6 Reorder the terms: -6 + 2p = 6 + p Solving -6 + 2p = 6 + 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 + 2p + -1p = 6 + p + -1p Combine like terms: 2p + -1p = 1p -6 + 1p = 6 + p + -1p Combine like terms: p + -1p = 0 -6 + 1p = 6 + 0 -6 + 1p = 6 Add '6' to each side of the equation. -6 + 6 + 1p = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1p = 6 + 6 1p = 6 + 6 Combine like terms: 6 + 6 = 12 1p = 12 Divide each side by '1'. p = 12 Simplifying p = 12
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