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Simplifying 2(p + 7) + -33 = 4p + -11p + 4(p + -1) Reorder the terms: 2(7 + p) + -33 = 4p + -11p + 4(p + -1) (7 * 2 + p * 2) + -33 = 4p + -11p + 4(p + -1) (14 + 2p) + -33 = 4p + -11p + 4(p + -1) Reorder the terms: 14 + -33 + 2p = 4p + -11p + 4(p + -1) Combine like terms: 14 + -33 = -19 -19 + 2p = 4p + -11p + 4(p + -1) Reorder the terms: -19 + 2p = 4p + -11p + 4(-1 + p) -19 + 2p = 4p + -11p + (-1 * 4 + p * 4) -19 + 2p = 4p + -11p + (-4 + 4p) Reorder the terms: -19 + 2p = -4 + 4p + -11p + 4p Combine like terms: 4p + -11p = -7p -19 + 2p = -4 + -7p + 4p Combine like terms: -7p + 4p = -3p -19 + 2p = -4 + -3p Solving -19 + 2p = -4 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -19 + 2p + 3p = -4 + -3p + 3p Combine like terms: 2p + 3p = 5p -19 + 5p = -4 + -3p + 3p Combine like terms: -3p + 3p = 0 -19 + 5p = -4 + 0 -19 + 5p = -4 Add '19' to each side of the equation. -19 + 19 + 5p = -4 + 19 Combine like terms: -19 + 19 = 0 0 + 5p = -4 + 19 5p = -4 + 19 Combine like terms: -4 + 19 = 15 5p = 15 Divide each side by '5'. p = 3 Simplifying p = 3
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