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Simplifying 5p + 1 = 5(p + -1) + -2(7 + -2p) Reorder the terms: 1 + 5p = 5(p + -1) + -2(7 + -2p) Reorder the terms: 1 + 5p = 5(-1 + p) + -2(7 + -2p) 1 + 5p = (-1 * 5 + p * 5) + -2(7 + -2p) 1 + 5p = (-5 + 5p) + -2(7 + -2p) 1 + 5p = -5 + 5p + (7 * -2 + -2p * -2) 1 + 5p = -5 + 5p + (-14 + 4p) Reorder the terms: 1 + 5p = -5 + -14 + 5p + 4p Combine like terms: -5 + -14 = -19 1 + 5p = -19 + 5p + 4p Combine like terms: 5p + 4p = 9p 1 + 5p = -19 + 9p Solving 1 + 5p = -19 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 1 + 5p + -9p = -19 + 9p + -9p Combine like terms: 5p + -9p = -4p 1 + -4p = -19 + 9p + -9p Combine like terms: 9p + -9p = 0 1 + -4p = -19 + 0 1 + -4p = -19 Add '-1' to each side of the equation. 1 + -1 + -4p = -19 + -1 Combine like terms: 1 + -1 = 0 0 + -4p = -19 + -1 -4p = -19 + -1 Combine like terms: -19 + -1 = -20 -4p = -20 Divide each side by '-4'. p = 5 Simplifying p = 5
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