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Simplifying 5p + -8 = 3(p + -2) + p Reorder the terms: -8 + 5p = 3(p + -2) + p Reorder the terms: -8 + 5p = 3(-2 + p) + p -8 + 5p = (-2 * 3 + p * 3) + p -8 + 5p = (-6 + 3p) + p Combine like terms: 3p + p = 4p -8 + 5p = -6 + 4p Solving -8 + 5p = -6 + 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. -8 + 5p + -4p = -6 + 4p + -4p Combine like terms: 5p + -4p = 1p -8 + 1p = -6 + 4p + -4p Combine like terms: 4p + -4p = 0 -8 + 1p = -6 + 0 -8 + 1p = -6 Add '8' to each side of the equation. -8 + 8 + 1p = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 1p = -6 + 8 1p = -6 + 8 Combine like terms: -6 + 8 = 2 1p = 2 Divide each side by '1'. p = 2 Simplifying p = 2
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