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Simplifying 6(p + 4) + -4 = -5 + -1p Reorder the terms: 6(4 + p) + -4 = -5 + -1p (4 * 6 + p * 6) + -4 = -5 + -1p (24 + 6p) + -4 = -5 + -1p Reorder the terms: 24 + -4 + 6p = -5 + -1p Combine like terms: 24 + -4 = 20 20 + 6p = -5 + -1p Solving 20 + 6p = -5 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 20 + 6p + p = -5 + -1p + p Combine like terms: 6p + p = 7p 20 + 7p = -5 + -1p + p Combine like terms: -1p + p = 0 20 + 7p = -5 + 0 20 + 7p = -5 Add '-20' to each side of the equation. 20 + -20 + 7p = -5 + -20 Combine like terms: 20 + -20 = 0 0 + 7p = -5 + -20 7p = -5 + -20 Combine like terms: -5 + -20 = -25 7p = -25 Divide each side by '7'. p = -3.571428571 Simplifying p = -3.571428571
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