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