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Simplifying 10 + 4(p + 7) = 2(1 + -1p) Reorder the terms: 10 + 4(7 + p) = 2(1 + -1p) 10 + (7 * 4 + p * 4) = 2(1 + -1p) 10 + (28 + 4p) = 2(1 + -1p) Combine like terms: 10 + 28 = 38 38 + 4p = 2(1 + -1p) 38 + 4p = (1 * 2 + -1p * 2) 38 + 4p = (2 + -2p) Solving 38 + 4p = 2 + -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. 38 + 4p + 2p = 2 + -2p + 2p Combine like terms: 4p + 2p = 6p 38 + 6p = 2 + -2p + 2p Combine like terms: -2p + 2p = 0 38 + 6p = 2 + 0 38 + 6p = 2 Add '-38' to each side of the equation. 38 + -38 + 6p = 2 + -38 Combine like terms: 38 + -38 = 0 0 + 6p = 2 + -38 6p = 2 + -38 Combine like terms: 2 + -38 = -36 6p = -36 Divide each side by '6'. p = -6 Simplifying p = -6
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