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Simplifying 8 + -3(p + -4) * 2 = 2p Reorder the terms: 8 + -3(-4 + p) * 2 = 2p Reorder the terms for easier multiplication: 8 + -3 * 2(-4 + p) = 2p Multiply -3 * 2 8 + -6(-4 + p) = 2p 8 + (-4 * -6 + p * -6) = 2p 8 + (24 + -6p) = 2p Combine like terms: 8 + 24 = 32 32 + -6p = 2p Solving 32 + -6p = 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. 32 + -6p + -2p = 2p + -2p Combine like terms: -6p + -2p = -8p 32 + -8p = 2p + -2p Combine like terms: 2p + -2p = 0 32 + -8p = 0 Add '-32' to each side of the equation. 32 + -32 + -8p = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -8p = 0 + -32 -8p = 0 + -32 Combine like terms: 0 + -32 = -32 -8p = -32 Divide each side by '-8'. p = 4 Simplifying p = 4
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