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Simplifying 3p + -1 = 5(p + -1) + -2 Reorder the terms: -1 + 3p = 5(p + -1) + -2 Reorder the terms: -1 + 3p = 5(-1 + p) + -2 -1 + 3p = (-1 * 5 + p * 5) + -2 -1 + 3p = (-5 + 5p) + -2 Reorder the terms: -1 + 3p = -5 + -2 + 5p Combine like terms: -5 + -2 = -7 -1 + 3p = -7 + 5p Solving -1 + 3p = -7 + 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. -1 + 3p + -5p = -7 + 5p + -5p Combine like terms: 3p + -5p = -2p -1 + -2p = -7 + 5p + -5p Combine like terms: 5p + -5p = 0 -1 + -2p = -7 + 0 -1 + -2p = -7 Add '1' to each side of the equation. -1 + 1 + -2p = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -2p = -7 + 1 -2p = -7 + 1 Combine like terms: -7 + 1 = -6 -2p = -6 Divide each side by '-2'. p = 3 Simplifying p = 3
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