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Simplifying 8 + -1p = 9 + -1(-12) + -3p Multiply -1 * -12 8 + -1p = 9 + 12 + -3p Combine like terms: 9 + 12 = 21 8 + -1p = 21 + -3p Solving 8 + -1p = 21 + -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. 8 + -1p + 3p = 21 + -3p + 3p Combine like terms: -1p + 3p = 2p 8 + 2p = 21 + -3p + 3p Combine like terms: -3p + 3p = 0 8 + 2p = 21 + 0 8 + 2p = 21 Add '-8' to each side of the equation. 8 + -8 + 2p = 21 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = 21 + -8 2p = 21 + -8 Combine like terms: 21 + -8 = 13 2p = 13 Divide each side by '2'. p = 6.5 Simplifying p = 6.5
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