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Simplifying 13 + 7p = -1 + -1(1 + -4p) 13 + 7p = -1 + (1 * -1 + -4p * -1) 13 + 7p = -1 + (-1 + 4p) Combine like terms: -1 + -1 = -2 13 + 7p = -2 + 4p Solving 13 + 7p = -2 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 13 + 7p + -4p = -2 + 4p + -4p Combine like terms: 7p + -4p = 3p 13 + 3p = -2 + 4p + -4p Combine like terms: 4p + -4p = 0 13 + 3p = -2 + 0 13 + 3p = -2 Add '-13' to each side of the equation. 13 + -13 + 3p = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 3p = -2 + -13 3p = -2 + -13 Combine like terms: -2 + -13 = -15 3p = -15 Divide each side by '3'. p = -5 Simplifying p = -5
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