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Simplifying 5p + -8 = 3(p + -2) + 2 Reorder the terms: -8 + 5p = 3(p + -2) + 2 Reorder the terms: -8 + 5p = 3(-2 + p) + 2 -8 + 5p = (-2 * 3 + p * 3) + 2 -8 + 5p = (-6 + 3p) + 2 Reorder the terms: -8 + 5p = -6 + 2 + 3p Combine like terms: -6 + 2 = -4 -8 + 5p = -4 + 3p Solving -8 + 5p = -4 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -8 + 5p + -3p = -4 + 3p + -3p Combine like terms: 5p + -3p = 2p -8 + 2p = -4 + 3p + -3p Combine like terms: 3p + -3p = 0 -8 + 2p = -4 + 0 -8 + 2p = -4 Add '8' to each side of the equation. -8 + 8 + 2p = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 2p = -4 + 8 2p = -4 + 8 Combine like terms: -4 + 8 = 4 2p = 4 Divide each side by '2'. p = 2 Simplifying p = 2
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