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Simplifying 8p + -5p + 15 = 21p + -3 Reorder the terms: 15 + 8p + -5p = 21p + -3 Combine like terms: 8p + -5p = 3p 15 + 3p = 21p + -3 Reorder the terms: 15 + 3p = -3 + 21p Solving 15 + 3p = -3 + 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. 15 + 3p + -21p = -3 + 21p + -21p Combine like terms: 3p + -21p = -18p 15 + -18p = -3 + 21p + -21p Combine like terms: 21p + -21p = 0 15 + -18p = -3 + 0 15 + -18p = -3 Add '-15' to each side of the equation. 15 + -15 + -18p = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -18p = -3 + -15 -18p = -3 + -15 Combine like terms: -3 + -15 = -18 -18p = -18 Divide each side by '-18'. p = 1 Simplifying p = 1
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