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Simplifying 5(p + -3) + 7 = -8 + 4p Reorder the terms: 5(-3 + p) + 7 = -8 + 4p (-3 * 5 + p * 5) + 7 = -8 + 4p (-15 + 5p) + 7 = -8 + 4p Reorder the terms: -15 + 7 + 5p = -8 + 4p Combine like terms: -15 + 7 = -8 -8 + 5p = -8 + 4p Add '8' to each side of the equation. -8 + 8 + 5p = -8 + 8 + 4p Combine like terms: -8 + 8 = 0 0 + 5p = -8 + 8 + 4p 5p = -8 + 8 + 4p Combine like terms: -8 + 8 = 0 5p = 0 + 4p 5p = 4p Solving 5p = 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. 5p + -4p = 4p + -4p Combine like terms: 5p + -4p = 1p 1p = 4p + -4p Combine like terms: 4p + -4p = 0 1p = 0 Divide each side by '1'. p = 0 Simplifying p = 0
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