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Simplifying -5(p + 1) = 4 + -1(5 + -2p) Reorder the terms: -5(1 + p) = 4 + -1(5 + -2p) (1 * -5 + p * -5) = 4 + -1(5 + -2p) (-5 + -5p) = 4 + -1(5 + -2p) -5 + -5p = 4 + (5 * -1 + -2p * -1) -5 + -5p = 4 + (-5 + 2p) Combine like terms: 4 + -5 = -1 -5 + -5p = -1 + 2p Solving -5 + -5p = -1 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -5 + -5p + -2p = -1 + 2p + -2p Combine like terms: -5p + -2p = -7p -5 + -7p = -1 + 2p + -2p Combine like terms: 2p + -2p = 0 -5 + -7p = -1 + 0 -5 + -7p = -1 Add '5' to each side of the equation. -5 + 5 + -7p = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -7p = -1 + 5 -7p = -1 + 5 Combine like terms: -1 + 5 = 4 -7p = 4 Divide each side by '-7'. p = -0.5714285714 Simplifying p = -0.5714285714
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