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Simplifying 6p + 13 + p + 32 = 6p + 5 + 8p + -5 Reorder the terms: 13 + 32 + 6p + p = 6p + 5 + 8p + -5 Combine like terms: 13 + 32 = 45 45 + 6p + p = 6p + 5 + 8p + -5 Combine like terms: 6p + p = 7p 45 + 7p = 6p + 5 + 8p + -5 Reorder the terms: 45 + 7p = 5 + -5 + 6p + 8p Combine like terms: 5 + -5 = 0 45 + 7p = 0 + 6p + 8p 45 + 7p = 6p + 8p Combine like terms: 6p + 8p = 14p 45 + 7p = 14p Solving 45 + 7p = 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. 45 + 7p + -14p = 14p + -14p Combine like terms: 7p + -14p = -7p 45 + -7p = 14p + -14p Combine like terms: 14p + -14p = 0 45 + -7p = 0 Add '-45' to each side of the equation. 45 + -45 + -7p = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -7p = 0 + -45 -7p = 0 + -45 Combine like terms: 0 + -45 = -45 -7p = -45 Divide each side by '-7'. p = 6.428571429 Simplifying p = 6.428571429
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