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Simplifying 7p + -3 = 11 + 2(p + 4) Reorder the terms: -3 + 7p = 11 + 2(p + 4) Reorder the terms: -3 + 7p = 11 + 2(4 + p) -3 + 7p = 11 + (4 * 2 + p * 2) -3 + 7p = 11 + (8 + 2p) Combine like terms: 11 + 8 = 19 -3 + 7p = 19 + 2p Solving -3 + 7p = 19 + 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. -3 + 7p + -2p = 19 + 2p + -2p Combine like terms: 7p + -2p = 5p -3 + 5p = 19 + 2p + -2p Combine like terms: 2p + -2p = 0 -3 + 5p = 19 + 0 -3 + 5p = 19 Add '3' to each side of the equation. -3 + 3 + 5p = 19 + 3 Combine like terms: -3 + 3 = 0 0 + 5p = 19 + 3 5p = 19 + 3 Combine like terms: 19 + 3 = 22 5p = 22 Divide each side by '5'. p = 4.4 Simplifying p = 4.4
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