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Simplifying 4(2 + p) = 32 + -3(p + 1) (2 * 4 + p * 4) = 32 + -3(p + 1) (8 + 4p) = 32 + -3(p + 1) Reorder the terms: 8 + 4p = 32 + -3(1 + p) 8 + 4p = 32 + (1 * -3 + p * -3) 8 + 4p = 32 + (-3 + -3p) Combine like terms: 32 + -3 = 29 8 + 4p = 29 + -3p Solving 8 + 4p = 29 + -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. 8 + 4p + 3p = 29 + -3p + 3p Combine like terms: 4p + 3p = 7p 8 + 7p = 29 + -3p + 3p Combine like terms: -3p + 3p = 0 8 + 7p = 29 + 0 8 + 7p = 29 Add '-8' to each side of the equation. 8 + -8 + 7p = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 7p = 29 + -8 7p = 29 + -8 Combine like terms: 29 + -8 = 21 7p = 21 Divide each side by '7'. p = 3 Simplifying p = 3
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