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Simplifying 6p + 5(4 + 5p) = -3p + 20 6p + (4 * 5 + 5p * 5) = -3p + 20 6p + (20 + 25p) = -3p + 20 Reorder the terms: 20 + 6p + 25p = -3p + 20 Combine like terms: 6p + 25p = 31p 20 + 31p = -3p + 20 Reorder the terms: 20 + 31p = 20 + -3p Add '-20' to each side of the equation. 20 + -20 + 31p = 20 + -20 + -3p Combine like terms: 20 + -20 = 0 0 + 31p = 20 + -20 + -3p 31p = 20 + -20 + -3p Combine like terms: 20 + -20 = 0 31p = 0 + -3p 31p = -3p Solving 31p = -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 31p + 3p = -3p + 3p Combine like terms: 31p + 3p = 34p 34p = -3p + 3p Combine like terms: -3p + 3p = 0 34p = 0 Divide each side by '34'. p = 0 Simplifying p = 0
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