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Simplifying 12 + -5p + -18 = 7p + 18 + -4p Reorder the terms: 12 + -18 + -5p = 7p + 18 + -4p Combine like terms: 12 + -18 = -6 -6 + -5p = 7p + 18 + -4p Reorder the terms: -6 + -5p = 18 + 7p + -4p Combine like terms: 7p + -4p = 3p -6 + -5p = 18 + 3p Solving -6 + -5p = 18 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -6 + -5p + -3p = 18 + 3p + -3p Combine like terms: -5p + -3p = -8p -6 + -8p = 18 + 3p + -3p Combine like terms: 3p + -3p = 0 -6 + -8p = 18 + 0 -6 + -8p = 18 Add '6' to each side of the equation. -6 + 6 + -8p = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -8p = 18 + 6 -8p = 18 + 6 Combine like terms: 18 + 6 = 24 -8p = 24 Divide each side by '-8'. p = -3 Simplifying p = -3
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