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Simplifying 6 + 3p + -12 = p + 1 Reorder the terms: 6 + -12 + 3p = p + 1 Combine like terms: 6 + -12 = -6 -6 + 3p = p + 1 Reorder the terms: -6 + 3p = 1 + p Solving -6 + 3p = 1 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -6 + 3p + -1p = 1 + p + -1p Combine like terms: 3p + -1p = 2p -6 + 2p = 1 + p + -1p Combine like terms: p + -1p = 0 -6 + 2p = 1 + 0 -6 + 2p = 1 Add '6' to each side of the equation. -6 + 6 + 2p = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 2p = 1 + 6 2p = 1 + 6 Combine like terms: 1 + 6 = 7 2p = 7 Divide each side by '2'. p = 3.5 Simplifying p = 3.5
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