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Simplifying -29 + -4p = 2 + -7(1 + 4p) -29 + -4p = 2 + (1 * -7 + 4p * -7) -29 + -4p = 2 + (-7 + -28p) Combine like terms: 2 + -7 = -5 -29 + -4p = -5 + -28p Solving -29 + -4p = -5 + -28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28p' to each side of the equation. -29 + -4p + 28p = -5 + -28p + 28p Combine like terms: -4p + 28p = 24p -29 + 24p = -5 + -28p + 28p Combine like terms: -28p + 28p = 0 -29 + 24p = -5 + 0 -29 + 24p = -5 Add '29' to each side of the equation. -29 + 29 + 24p = -5 + 29 Combine like terms: -29 + 29 = 0 0 + 24p = -5 + 29 24p = -5 + 29 Combine like terms: -5 + 29 = 24 24p = 24 Divide each side by '24'. p = 1 Simplifying p = 1
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