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Simplifying 2 + -3p + 4 = 4(p + 4) + -2p Reorder the terms: 2 + 4 + -3p = 4(p + 4) + -2p Combine like terms: 2 + 4 = 6 6 + -3p = 4(p + 4) + -2p Reorder the terms: 6 + -3p = 4(4 + p) + -2p 6 + -3p = (4 * 4 + p * 4) + -2p 6 + -3p = (16 + 4p) + -2p Combine like terms: 4p + -2p = 2p 6 + -3p = 16 + 2p Solving 6 + -3p = 16 + 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. 6 + -3p + -2p = 16 + 2p + -2p Combine like terms: -3p + -2p = -5p 6 + -5p = 16 + 2p + -2p Combine like terms: 2p + -2p = 0 6 + -5p = 16 + 0 6 + -5p = 16 Add '-6' to each side of the equation. 6 + -6 + -5p = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -5p = 16 + -6 -5p = 16 + -6 Combine like terms: 16 + -6 = 10 -5p = 10 Divide each side by '-5'. p = -2 Simplifying p = -2
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