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Simplifying 3(p + -4) + 2p = 8 + -2p + 1 Reorder the terms: 3(-4 + p) + 2p = 8 + -2p + 1 (-4 * 3 + p * 3) + 2p = 8 + -2p + 1 (-12 + 3p) + 2p = 8 + -2p + 1 Combine like terms: 3p + 2p = 5p -12 + 5p = 8 + -2p + 1 Reorder the terms: -12 + 5p = 8 + 1 + -2p Combine like terms: 8 + 1 = 9 -12 + 5p = 9 + -2p Solving -12 + 5p = 9 + -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 + 5p + 2p = 9 + -2p + 2p Combine like terms: 5p + 2p = 7p -12 + 7p = 9 + -2p + 2p Combine like terms: -2p + 2p = 0 -12 + 7p = 9 + 0 -12 + 7p = 9 Add '12' to each side of the equation. -12 + 12 + 7p = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 7p = 9 + 12 7p = 9 + 12 Combine like terms: 9 + 12 = 21 7p = 21 Divide each side by '7'. p = 3 Simplifying p = 3
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