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Simplifying 3(p + 5) + 4(5p + -1) = 0 Reorder the terms: 3(5 + p) + 4(5p + -1) = 0 (5 * 3 + p * 3) + 4(5p + -1) = 0 (15 + 3p) + 4(5p + -1) = 0 Reorder the terms: 15 + 3p + 4(-1 + 5p) = 0 15 + 3p + (-1 * 4 + 5p * 4) = 0 15 + 3p + (-4 + 20p) = 0 Reorder the terms: 15 + -4 + 3p + 20p = 0 Combine like terms: 15 + -4 = 11 11 + 3p + 20p = 0 Combine like terms: 3p + 20p = 23p 11 + 23p = 0 Solving 11 + 23p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 23p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 23p = 0 + -11 23p = 0 + -11 Combine like terms: 0 + -11 = -11 23p = -11 Divide each side by '23'. p = -0.4782608696 Simplifying p = -0.4782608696
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