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