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Simplifying 18 + p = 1 + 6(2 + p) 18 + p = 1 + (2 * 6 + p * 6) 18 + p = 1 + (12 + 6p) Combine like terms: 1 + 12 = 13 18 + p = 13 + 6p Solving 18 + p = 13 + 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 + p + -6p = 13 + 6p + -6p Combine like terms: p + -6p = -5p 18 + -5p = 13 + 6p + -6p Combine like terms: 6p + -6p = 0 18 + -5p = 13 + 0 18 + -5p = 13 Add '-18' to each side of the equation. 18 + -18 + -5p = 13 + -18 Combine like terms: 18 + -18 = 0 0 + -5p = 13 + -18 -5p = 13 + -18 Combine like terms: 13 + -18 = -5 -5p = -5 Divide each side by '-5'. p = 1 Simplifying p = 1
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