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Simplifying 19 + -1p = -7(p + -7) Reorder the terms: 19 + -1p = -7(-7 + p) 19 + -1p = (-7 * -7 + p * -7) 19 + -1p = (49 + -7p) Solving 19 + -1p = 49 + -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 + -1p + 7p = 49 + -7p + 7p Combine like terms: -1p + 7p = 6p 19 + 6p = 49 + -7p + 7p Combine like terms: -7p + 7p = 0 19 + 6p = 49 + 0 19 + 6p = 49 Add '-19' to each side of the equation. 19 + -19 + 6p = 49 + -19 Combine like terms: 19 + -19 = 0 0 + 6p = 49 + -19 6p = 49 + -19 Combine like terms: 49 + -19 = 30 6p = 30 Divide each side by '6'. p = 5 Simplifying p = 5
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