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Simplifying 8p + 1 + -7 = 26 + -6p + 15 Reorder the terms: 1 + -7 + 8p = 26 + -6p + 15 Combine like terms: 1 + -7 = -6 -6 + 8p = 26 + -6p + 15 Reorder the terms: -6 + 8p = 26 + 15 + -6p Combine like terms: 26 + 15 = 41 -6 + 8p = 41 + -6p Solving -6 + 8p = 41 + -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. -6 + 8p + 6p = 41 + -6p + 6p Combine like terms: 8p + 6p = 14p -6 + 14p = 41 + -6p + 6p Combine like terms: -6p + 6p = 0 -6 + 14p = 41 + 0 -6 + 14p = 41 Add '6' to each side of the equation. -6 + 6 + 14p = 41 + 6 Combine like terms: -6 + 6 = 0 0 + 14p = 41 + 6 14p = 41 + 6 Combine like terms: 41 + 6 = 47 14p = 47 Divide each side by '14'. p = 3.357142857 Simplifying p = 3.357142857
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