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Simplifying 2(p + -3) = (3p + 8) Reorder the terms: 2(-3 + p) = (3p + 8) (-3 * 2 + p * 2) = (3p + 8) (-6 + 2p) = (3p + 8) Reorder the terms: -6 + 2p = (8 + 3p) Remove parenthesis around (8 + 3p) -6 + 2p = 8 + 3p Solving -6 + 2p = 8 + 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. -6 + 2p + -3p = 8 + 3p + -3p Combine like terms: 2p + -3p = -1p -6 + -1p = 8 + 3p + -3p Combine like terms: 3p + -3p = 0 -6 + -1p = 8 + 0 -6 + -1p = 8 Add '6' to each side of the equation. -6 + 6 + -1p = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -1p = 8 + 6 -1p = 8 + 6 Combine like terms: 8 + 6 = 14 -1p = 14 Divide each side by '-1'. p = -14 Simplifying p = -14
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