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Simplifying -2p + 4 = -1(5p + 1) Reorder the terms: 4 + -2p = -1(5p + 1) Reorder the terms: 4 + -2p = -1(1 + 5p) 4 + -2p = (1 * -1 + 5p * -1) 4 + -2p = (-1 + -5p) Solving 4 + -2p = -1 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 4 + -2p + 5p = -1 + -5p + 5p Combine like terms: -2p + 5p = 3p 4 + 3p = -1 + -5p + 5p Combine like terms: -5p + 5p = 0 4 + 3p = -1 + 0 4 + 3p = -1 Add '-4' to each side of the equation. 4 + -4 + 3p = -1 + -4 Combine like terms: 4 + -4 = 0 0 + 3p = -1 + -4 3p = -1 + -4 Combine like terms: -1 + -4 = -5 3p = -5 Divide each side by '3'. p = -1.666666667 Simplifying p = -1.666666667
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