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Simplifying 8 + 2(p + -12) = p + 40 Reorder the terms: 8 + 2(-12 + p) = p + 40 8 + (-12 * 2 + p * 2) = p + 40 8 + (-24 + 2p) = p + 40 Combine like terms: 8 + -24 = -16 -16 + 2p = p + 40 Reorder the terms: -16 + 2p = 40 + p Solving -16 + 2p = 40 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -16 + 2p + -1p = 40 + p + -1p Combine like terms: 2p + -1p = 1p -16 + 1p = 40 + p + -1p Combine like terms: p + -1p = 0 -16 + 1p = 40 + 0 -16 + 1p = 40 Add '16' to each side of the equation. -16 + 16 + 1p = 40 + 16 Combine like terms: -16 + 16 = 0 0 + 1p = 40 + 16 1p = 40 + 16 Combine like terms: 40 + 16 = 56 1p = 56 Divide each side by '1'. p = 56 Simplifying p = 56
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