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Simplifying 6p + 21 = 15p + -40 Reorder the terms: 21 + 6p = 15p + -40 Reorder the terms: 21 + 6p = -40 + 15p Solving 21 + 6p = -40 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 21 + 6p + -15p = -40 + 15p + -15p Combine like terms: 6p + -15p = -9p 21 + -9p = -40 + 15p + -15p Combine like terms: 15p + -15p = 0 21 + -9p = -40 + 0 21 + -9p = -40 Add '-21' to each side of the equation. 21 + -21 + -9p = -40 + -21 Combine like terms: 21 + -21 = 0 0 + -9p = -40 + -21 -9p = -40 + -21 Combine like terms: -40 + -21 = -61 -9p = -61 Divide each side by '-9'. p = 6.777777778 Simplifying p = 6.777777778
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