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Simplifying 5(30 + -5) + 4p = 5p + -6(p + 4) Combine like terms: 30 + -5 = 25 5(25) + 4p = 5p + -6(p + 4) Multiply 5 * 25 125 + 4p = 5p + -6(p + 4) Reorder the terms: 125 + 4p = 5p + -6(4 + p) 125 + 4p = 5p + (4 * -6 + p * -6) 125 + 4p = 5p + (-24 + -6p) Reorder the terms: 125 + 4p = -24 + 5p + -6p Combine like terms: 5p + -6p = -1p 125 + 4p = -24 + -1p Solving 125 + 4p = -24 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 125 + 4p + p = -24 + -1p + p Combine like terms: 4p + p = 5p 125 + 5p = -24 + -1p + p Combine like terms: -1p + p = 0 125 + 5p = -24 + 0 125 + 5p = -24 Add '-125' to each side of the equation. 125 + -125 + 5p = -24 + -125 Combine like terms: 125 + -125 = 0 0 + 5p = -24 + -125 5p = -24 + -125 Combine like terms: -24 + -125 = -149 5p = -149 Divide each side by '5'. p = -29.8 Simplifying p = -29.8
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