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Simplifying 3p + -1 = -5p + -5 + -14 + 4p Reorder the terms: -1 + 3p = -5p + -5 + -14 + 4p Reorder the terms: -1 + 3p = -5 + -14 + -5p + 4p Combine like terms: -5 + -14 = -19 -1 + 3p = -19 + -5p + 4p Combine like terms: -5p + 4p = -1p -1 + 3p = -19 + -1p Solving -1 + 3p = -19 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -1 + 3p + p = -19 + -1p + p Combine like terms: 3p + p = 4p -1 + 4p = -19 + -1p + p Combine like terms: -1p + p = 0 -1 + 4p = -19 + 0 -1 + 4p = -19 Add '1' to each side of the equation. -1 + 1 + 4p = -19 + 1 Combine like terms: -1 + 1 = 0 0 + 4p = -19 + 1 4p = -19 + 1 Combine like terms: -19 + 1 = -18 4p = -18 Divide each side by '4'. p = -4.5 Simplifying p = -4.5
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