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Simplifying 13 + 5p = -8(3 + 4p) 13 + 5p = (3 * -8 + 4p * -8) 13 + 5p = (-24 + -32p) Solving 13 + 5p = -24 + -32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32p' to each side of the equation. 13 + 5p + 32p = -24 + -32p + 32p Combine like terms: 5p + 32p = 37p 13 + 37p = -24 + -32p + 32p Combine like terms: -32p + 32p = 0 13 + 37p = -24 + 0 13 + 37p = -24 Add '-13' to each side of the equation. 13 + -13 + 37p = -24 + -13 Combine like terms: 13 + -13 = 0 0 + 37p = -24 + -13 37p = -24 + -13 Combine like terms: -24 + -13 = -37 37p = -37 Divide each side by '37'. p = -1 Simplifying p = -1
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