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Simplifying 19 + 2p = 1 + -1(-7p + 7) Reorder the terms: 19 + 2p = 1 + -1(7 + -7p) 19 + 2p = 1 + (7 * -1 + -7p * -1) 19 + 2p = 1 + (-7 + 7p) Combine like terms: 1 + -7 = -6 19 + 2p = -6 + 7p Solving 19 + 2p = -6 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 19 + 2p + -7p = -6 + 7p + -7p Combine like terms: 2p + -7p = -5p 19 + -5p = -6 + 7p + -7p Combine like terms: 7p + -7p = 0 19 + -5p = -6 + 0 19 + -5p = -6 Add '-19' to each side of the equation. 19 + -19 + -5p = -6 + -19 Combine like terms: 19 + -19 = 0 0 + -5p = -6 + -19 -5p = -6 + -19 Combine like terms: -6 + -19 = -25 -5p = -25 Divide each side by '-5'. p = 5 Simplifying p = 5
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