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Simplifying 2(p + -4) = 3p + 1 Reorder the terms: 2(-4 + p) = 3p + 1 (-4 * 2 + p * 2) = 3p + 1 (-8 + 2p) = 3p + 1 Reorder the terms: -8 + 2p = 1 + 3p Solving -8 + 2p = 1 + 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 + 2p + -3p = 1 + 3p + -3p Combine like terms: 2p + -3p = -1p -8 + -1p = 1 + 3p + -3p Combine like terms: 3p + -3p = 0 -8 + -1p = 1 + 0 -8 + -1p = 1 Add '8' to each side of the equation. -8 + 8 + -1p = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -1p = 1 + 8 -1p = 1 + 8 Combine like terms: 1 + 8 = 9 -1p = 9 Divide each side by '-1'. p = -9 Simplifying p = -9
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