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Simplifying 2p + 26 = 2(3p + -1) Reorder the terms: 26 + 2p = 2(3p + -1) Reorder the terms: 26 + 2p = 2(-1 + 3p) 26 + 2p = (-1 * 2 + 3p * 2) 26 + 2p = (-2 + 6p) Solving 26 + 2p = -2 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 26 + 2p + -6p = -2 + 6p + -6p Combine like terms: 2p + -6p = -4p 26 + -4p = -2 + 6p + -6p Combine like terms: 6p + -6p = 0 26 + -4p = -2 + 0 26 + -4p = -2 Add '-26' to each side of the equation. 26 + -26 + -4p = -2 + -26 Combine like terms: 26 + -26 = 0 0 + -4p = -2 + -26 -4p = -2 + -26 Combine like terms: -2 + -26 = -28 -4p = -28 Divide each side by '-4'. p = 7 Simplifying p = 7
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