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Simplifying 4(p + -3) = (2p + 8) Reorder the terms: 4(-3 + p) = (2p + 8) (-3 * 4 + p * 4) = (2p + 8) (-12 + 4p) = (2p + 8) Reorder the terms: -12 + 4p = (8 + 2p) Remove parenthesis around (8 + 2p) -12 + 4p = 8 + 2p Solving -12 + 4p = 8 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -12 + 4p + -2p = 8 + 2p + -2p Combine like terms: 4p + -2p = 2p -12 + 2p = 8 + 2p + -2p Combine like terms: 2p + -2p = 0 -12 + 2p = 8 + 0 -12 + 2p = 8 Add '12' to each side of the equation. -12 + 12 + 2p = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 2p = 8 + 12 2p = 8 + 12 Combine like terms: 8 + 12 = 20 2p = 20 Divide each side by '2'. p = 10 Simplifying p = 10
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