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Simplifying -2 + 5(p + 6) = 3p + 26 Reorder the terms: -2 + 5(6 + p) = 3p + 26 -2 + (6 * 5 + p * 5) = 3p + 26 -2 + (30 + 5p) = 3p + 26 Combine like terms: -2 + 30 = 28 28 + 5p = 3p + 26 Reorder the terms: 28 + 5p = 26 + 3p Solving 28 + 5p = 26 + 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. 28 + 5p + -3p = 26 + 3p + -3p Combine like terms: 5p + -3p = 2p 28 + 2p = 26 + 3p + -3p Combine like terms: 3p + -3p = 0 28 + 2p = 26 + 0 28 + 2p = 26 Add '-28' to each side of the equation. 28 + -28 + 2p = 26 + -28 Combine like terms: 28 + -28 = 0 0 + 2p = 26 + -28 2p = 26 + -28 Combine like terms: 26 + -28 = -2 2p = -2 Divide each side by '2'. p = -1 Simplifying p = -1
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