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Simplifying -7(p + -3) + 11 = 3p + -12 + -1p Reorder the terms: -7(-3 + p) + 11 = 3p + -12 + -1p (-3 * -7 + p * -7) + 11 = 3p + -12 + -1p (21 + -7p) + 11 = 3p + -12 + -1p Reorder the terms: 21 + 11 + -7p = 3p + -12 + -1p Combine like terms: 21 + 11 = 32 32 + -7p = 3p + -12 + -1p Reorder the terms: 32 + -7p = -12 + 3p + -1p Combine like terms: 3p + -1p = 2p 32 + -7p = -12 + 2p Solving 32 + -7p = -12 + 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. 32 + -7p + -2p = -12 + 2p + -2p Combine like terms: -7p + -2p = -9p 32 + -9p = -12 + 2p + -2p Combine like terms: 2p + -2p = 0 32 + -9p = -12 + 0 32 + -9p = -12 Add '-32' to each side of the equation. 32 + -32 + -9p = -12 + -32 Combine like terms: 32 + -32 = 0 0 + -9p = -12 + -32 -9p = -12 + -32 Combine like terms: -12 + -32 = -44 -9p = -44 Divide each side by '-9'. p = 4.888888889 Simplifying p = 4.888888889
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