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Simplifying 10 + 2(p + 7) = 3p + -4 Reorder the terms: 10 + 2(7 + p) = 3p + -4 10 + (7 * 2 + p * 2) = 3p + -4 10 + (14 + 2p) = 3p + -4 Combine like terms: 10 + 14 = 24 24 + 2p = 3p + -4 Reorder the terms: 24 + 2p = -4 + 3p Solving 24 + 2p = -4 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 24 + 2p + -3p = -4 + 3p + -3p Combine like terms: 2p + -3p = -1p 24 + -1p = -4 + 3p + -3p Combine like terms: 3p + -3p = 0 24 + -1p = -4 + 0 24 + -1p = -4 Add '-24' to each side of the equation. 24 + -24 + -1p = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -1p = -4 + -24 -1p = -4 + -24 Combine like terms: -4 + -24 = -28 -1p = -28 Divide each side by '-1'. p = 28 Simplifying p = 28
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