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Simplifying 3p + -4 = 2(p + -4) + 3 Reorder the terms: -4 + 3p = 2(p + -4) + 3 Reorder the terms: -4 + 3p = 2(-4 + p) + 3 -4 + 3p = (-4 * 2 + p * 2) + 3 -4 + 3p = (-8 + 2p) + 3 Reorder the terms: -4 + 3p = -8 + 3 + 2p Combine like terms: -8 + 3 = -5 -4 + 3p = -5 + 2p Solving -4 + 3p = -5 + 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. -4 + 3p + -2p = -5 + 2p + -2p Combine like terms: 3p + -2p = 1p -4 + 1p = -5 + 2p + -2p Combine like terms: 2p + -2p = 0 -4 + 1p = -5 + 0 -4 + 1p = -5 Add '4' to each side of the equation. -4 + 4 + 1p = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 1p = -5 + 4 1p = -5 + 4 Combine like terms: -5 + 4 = -1 1p = -1 Divide each side by '1'. p = -1 Simplifying p = -1
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