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Simplifying 1(p + -5) = 3p + 2p + 1 Reorder the terms: 1(-5 + p) = 3p + 2p + 1 (-5 * 1 + p * 1) = 3p + 2p + 1 (-5 + 1p) = 3p + 2p + 1 Reorder the terms: -5 + 1p = 1 + 3p + 2p Combine like terms: 3p + 2p = 5p -5 + 1p = 1 + 5p Solving -5 + 1p = 1 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -5 + 1p + -5p = 1 + 5p + -5p Combine like terms: 1p + -5p = -4p -5 + -4p = 1 + 5p + -5p Combine like terms: 5p + -5p = 0 -5 + -4p = 1 + 0 -5 + -4p = 1 Add '5' to each side of the equation. -5 + 5 + -4p = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -4p = 1 + 5 -4p = 1 + 5 Combine like terms: 1 + 5 = 6 -4p = 6 Divide each side by '-4'. p = -1.5 Simplifying p = -1.5
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