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Simplifying 13p + 4 = 16 + 4(6 + p) Reorder the terms: 4 + 13p = 16 + 4(6 + p) 4 + 13p = 16 + (6 * 4 + p * 4) 4 + 13p = 16 + (24 + 4p) Combine like terms: 16 + 24 = 40 4 + 13p = 40 + 4p Solving 4 + 13p = 40 + 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. 4 + 13p + -4p = 40 + 4p + -4p Combine like terms: 13p + -4p = 9p 4 + 9p = 40 + 4p + -4p Combine like terms: 4p + -4p = 0 4 + 9p = 40 + 0 4 + 9p = 40 Add '-4' to each side of the equation. 4 + -4 + 9p = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 9p = 40 + -4 9p = 40 + -4 Combine like terms: 40 + -4 = 36 9p = 36 Divide each side by '9'. p = 4 Simplifying p = 4
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