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Simplifying 18 = 6(p + 1) Reorder the terms: 18 = 6(1 + p) 18 = (1 * 6 + p * 6) 18 = (6 + 6p) Solving 18 = 6 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 18 + -6p = 6 + 6p + -6p Combine like terms: 6p + -6p = 0 18 + -6p = 6 + 0 18 + -6p = 6 Add '-18' to each side of the equation. 18 + -18 + -6p = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -6p = 6 + -18 -6p = 6 + -18 Combine like terms: 6 + -18 = -12 -6p = -12 Divide each side by '-6'. p = 2 Simplifying p = 2
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