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Simplifying 13p + 4(4 + -8p) = -19 + 16 13p + (4 * 4 + -8p * 4) = -19 + 16 13p + (16 + -32p) = -19 + 16 Reorder the terms: 16 + 13p + -32p = -19 + 16 Combine like terms: 13p + -32p = -19p 16 + -19p = -19 + 16 Combine like terms: -19 + 16 = -3 16 + -19p = -3 Solving 16 + -19p = -3 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -19p = -3 + -16 Combine like terms: 16 + -16 = 0 0 + -19p = -3 + -16 -19p = -3 + -16 Combine like terms: -3 + -16 = -19 -19p = -19 Divide each side by '-19'. p = 1 Simplifying p = 1
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