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Simplifying 7(p + 3) = 4(p + 6) Reorder the terms: 7(3 + p) = 4(p + 6) (3 * 7 + p * 7) = 4(p + 6) (21 + 7p) = 4(p + 6) Reorder the terms: 21 + 7p = 4(6 + p) 21 + 7p = (6 * 4 + p * 4) 21 + 7p = (24 + 4p) Solving 21 + 7p = 24 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 21 + 7p + -4p = 24 + 4p + -4p Combine like terms: 7p + -4p = 3p 21 + 3p = 24 + 4p + -4p Combine like terms: 4p + -4p = 0 21 + 3p = 24 + 0 21 + 3p = 24 Add '-21' to each side of the equation. 21 + -21 + 3p = 24 + -21 Combine like terms: 21 + -21 = 0 0 + 3p = 24 + -21 3p = 24 + -21 Combine like terms: 24 + -21 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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