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Simplifying 18 + -1(5p + -3) + 11p = 24p + 3 Reorder the terms: 18 + -1(-3 + 5p) + 11p = 24p + 3 18 + (-3 * -1 + 5p * -1) + 11p = 24p + 3 18 + (3 + -5p) + 11p = 24p + 3 Combine like terms: 18 + 3 = 21 21 + -5p + 11p = 24p + 3 Combine like terms: -5p + 11p = 6p 21 + 6p = 24p + 3 Reorder the terms: 21 + 6p = 3 + 24p Solving 21 + 6p = 3 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 21 + 6p + -24p = 3 + 24p + -24p Combine like terms: 6p + -24p = -18p 21 + -18p = 3 + 24p + -24p Combine like terms: 24p + -24p = 0 21 + -18p = 3 + 0 21 + -18p = 3 Add '-21' to each side of the equation. 21 + -21 + -18p = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -18p = 3 + -21 -18p = 3 + -21 Combine like terms: 3 + -21 = -18 -18p = -18 Divide each side by '-18'. p = 1 Simplifying p = 1
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