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Simplifying -19 + 3p = -8(-1p + -1) + 3 Reorder the terms: -19 + 3p = -8(-1 + -1p) + 3 -19 + 3p = (-1 * -8 + -1p * -8) + 3 -19 + 3p = (8 + 8p) + 3 Reorder the terms: -19 + 3p = 8 + 3 + 8p Combine like terms: 8 + 3 = 11 -19 + 3p = 11 + 8p Solving -19 + 3p = 11 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -19 + 3p + -8p = 11 + 8p + -8p Combine like terms: 3p + -8p = -5p -19 + -5p = 11 + 8p + -8p Combine like terms: 8p + -8p = 0 -19 + -5p = 11 + 0 -19 + -5p = 11 Add '19' to each side of the equation. -19 + 19 + -5p = 11 + 19 Combine like terms: -19 + 19 = 0 0 + -5p = 11 + 19 -5p = 11 + 19 Combine like terms: 11 + 19 = 30 -5p = 30 Divide each side by '-5'. p = -6 Simplifying p = -6
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