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Simplifying 3p + -7 = 2p + 5p + 12 Reorder the terms: -7 + 3p = 2p + 5p + 12 Reorder the terms: -7 + 3p = 12 + 2p + 5p Combine like terms: 2p + 5p = 7p -7 + 3p = 12 + 7p Solving -7 + 3p = 12 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -7 + 3p + -7p = 12 + 7p + -7p Combine like terms: 3p + -7p = -4p -7 + -4p = 12 + 7p + -7p Combine like terms: 7p + -7p = 0 -7 + -4p = 12 + 0 -7 + -4p = 12 Add '7' to each side of the equation. -7 + 7 + -4p = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -4p = 12 + 7 -4p = 12 + 7 Combine like terms: 12 + 7 = 19 -4p = 19 Divide each side by '-4'. p = -4.75 Simplifying p = -4.75
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