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Simplifying 1 + 3(7p + -7) = 36 + 7p Reorder the terms: 1 + 3(-7 + 7p) = 36 + 7p 1 + (-7 * 3 + 7p * 3) = 36 + 7p 1 + (-21 + 21p) = 36 + 7p Combine like terms: 1 + -21 = -20 -20 + 21p = 36 + 7p Solving -20 + 21p = 36 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -20 + 21p + -7p = 36 + 7p + -7p Combine like terms: 21p + -7p = 14p -20 + 14p = 36 + 7p + -7p Combine like terms: 7p + -7p = 0 -20 + 14p = 36 + 0 -20 + 14p = 36 Add '20' to each side of the equation. -20 + 20 + 14p = 36 + 20 Combine like terms: -20 + 20 = 0 0 + 14p = 36 + 20 14p = 36 + 20 Combine like terms: 36 + 20 = 56 14p = 56 Divide each side by '14'. p = 4 Simplifying p = 4
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