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Simplifying 5(p + -3) + 8 = 4p + -5 Reorder the terms: 5(-3 + p) + 8 = 4p + -5 (-3 * 5 + p * 5) + 8 = 4p + -5 (-15 + 5p) + 8 = 4p + -5 Reorder the terms: -15 + 8 + 5p = 4p + -5 Combine like terms: -15 + 8 = -7 -7 + 5p = 4p + -5 Reorder the terms: -7 + 5p = -5 + 4p Solving -7 + 5p = -5 + 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. -7 + 5p + -4p = -5 + 4p + -4p Combine like terms: 5p + -4p = 1p -7 + 1p = -5 + 4p + -4p Combine like terms: 4p + -4p = 0 -7 + 1p = -5 + 0 -7 + 1p = -5 Add '7' to each side of the equation. -7 + 7 + 1p = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 1p = -5 + 7 1p = -5 + 7 Combine like terms: -5 + 7 = 2 1p = 2 Divide each side by '1'. p = 2 Simplifying p = 2
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