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Simplifying 5(4 + p) + -3(3p + -1) = 10 + -19 (4 * 5 + p * 5) + -3(3p + -1) = 10 + -19 (20 + 5p) + -3(3p + -1) = 10 + -19 Reorder the terms: 20 + 5p + -3(-1 + 3p) = 10 + -19 20 + 5p + (-1 * -3 + 3p * -3) = 10 + -19 20 + 5p + (3 + -9p) = 10 + -19 Reorder the terms: 20 + 3 + 5p + -9p = 10 + -19 Combine like terms: 20 + 3 = 23 23 + 5p + -9p = 10 + -19 Combine like terms: 5p + -9p = -4p 23 + -4p = 10 + -19 Combine like terms: 10 + -19 = -9 23 + -4p = -9 Solving 23 + -4p = -9 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -4p = -9 + -23 Combine like terms: 23 + -23 = 0 0 + -4p = -9 + -23 -4p = -9 + -23 Combine like terms: -9 + -23 = -32 -4p = -32 Divide each side by '-4'. p = 8 Simplifying p = 8
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