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Simplifying -1p + -9p + 1 = -13p + 19 Reorder the terms: 1 + -1p + -9p = -13p + 19 Combine like terms: -1p + -9p = -10p 1 + -10p = -13p + 19 Reorder the terms: 1 + -10p = 19 + -13p Solving 1 + -10p = 19 + -13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13p' to each side of the equation. 1 + -10p + 13p = 19 + -13p + 13p Combine like terms: -10p + 13p = 3p 1 + 3p = 19 + -13p + 13p Combine like terms: -13p + 13p = 0 1 + 3p = 19 + 0 1 + 3p = 19 Add '-1' to each side of the equation. 1 + -1 + 3p = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 3p = 19 + -1 3p = 19 + -1 Combine like terms: 19 + -1 = 18 3p = 18 Divide each side by '3'. p = 6 Simplifying p = 6
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