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Simplifying 5p + -2 + 3p = 17 + 12p + -23 Reorder the terms: -2 + 5p + 3p = 17 + 12p + -23 Combine like terms: 5p + 3p = 8p -2 + 8p = 17 + 12p + -23 Reorder the terms: -2 + 8p = 17 + -23 + 12p Combine like terms: 17 + -23 = -6 -2 + 8p = -6 + 12p Solving -2 + 8p = -6 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -2 + 8p + -12p = -6 + 12p + -12p Combine like terms: 8p + -12p = -4p -2 + -4p = -6 + 12p + -12p Combine like terms: 12p + -12p = 0 -2 + -4p = -6 + 0 -2 + -4p = -6 Add '2' to each side of the equation. -2 + 2 + -4p = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -4p = -6 + 2 -4p = -6 + 2 Combine like terms: -6 + 2 = -4 -4p = -4 Divide each side by '-4'. p = 1 Simplifying p = 1
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