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Simplifying 4p + 18 = 7(5 + 3p) Reorder the terms: 18 + 4p = 7(5 + 3p) 18 + 4p = (5 * 7 + 3p * 7) 18 + 4p = (35 + 21p) Solving 18 + 4p = 35 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. 18 + 4p + -21p = 35 + 21p + -21p Combine like terms: 4p + -21p = -17p 18 + -17p = 35 + 21p + -21p Combine like terms: 21p + -21p = 0 18 + -17p = 35 + 0 18 + -17p = 35 Add '-18' to each side of the equation. 18 + -18 + -17p = 35 + -18 Combine like terms: 18 + -18 = 0 0 + -17p = 35 + -18 -17p = 35 + -18 Combine like terms: 35 + -18 = 17 -17p = 17 Divide each side by '-17'. p = -1 Simplifying p = -1
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