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Simplifying (p + 30) + (4p + -36) + p = 822 Reorder the terms: (30 + p) + (4p + -36) + p = 822 Remove parenthesis around (30 + p) 30 + p + (4p + -36) + p = 822 Reorder the terms: 30 + p + (-36 + 4p) + p = 822 Remove parenthesis around (-36 + 4p) 30 + p + -36 + 4p + p = 822 Reorder the terms: 30 + -36 + p + 4p + p = 822 Combine like terms: 30 + -36 = -6 -6 + p + 4p + p = 822 Combine like terms: p + 4p = 5p -6 + 5p + p = 822 Combine like terms: 5p + p = 6p -6 + 6p = 822 Solving -6 + 6p = 822 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6p = 822 + 6 Combine like terms: -6 + 6 = 0 0 + 6p = 822 + 6 6p = 822 + 6 Combine like terms: 822 + 6 = 828 6p = 828 Divide each side by '6'. p = 138 Simplifying p = 138
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