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Simplifying 3(p + -2) + 7 = 32 + -4(2p + 5) Reorder the terms: 3(-2 + p) + 7 = 32 + -4(2p + 5) (-2 * 3 + p * 3) + 7 = 32 + -4(2p + 5) (-6 + 3p) + 7 = 32 + -4(2p + 5) Reorder the terms: -6 + 7 + 3p = 32 + -4(2p + 5) Combine like terms: -6 + 7 = 1 1 + 3p = 32 + -4(2p + 5) Reorder the terms: 1 + 3p = 32 + -4(5 + 2p) 1 + 3p = 32 + (5 * -4 + 2p * -4) 1 + 3p = 32 + (-20 + -8p) Combine like terms: 32 + -20 = 12 1 + 3p = 12 + -8p Solving 1 + 3p = 12 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 1 + 3p + 8p = 12 + -8p + 8p Combine like terms: 3p + 8p = 11p 1 + 11p = 12 + -8p + 8p Combine like terms: -8p + 8p = 0 1 + 11p = 12 + 0 1 + 11p = 12 Add '-1' to each side of the equation. 1 + -1 + 11p = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 11p = 12 + -1 11p = 12 + -1 Combine like terms: 12 + -1 = 11 11p = 11 Divide each side by '11'. p = 1 Simplifying p = 1
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