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Simplifying 4 + -5(3 + -1p) = 2(p + -1) 4 + (3 * -5 + -1p * -5) = 2(p + -1) 4 + (-15 + 5p) = 2(p + -1) Combine like terms: 4 + -15 = -11 -11 + 5p = 2(p + -1) Reorder the terms: -11 + 5p = 2(-1 + p) -11 + 5p = (-1 * 2 + p * 2) -11 + 5p = (-2 + 2p) Solving -11 + 5p = -2 + 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. -11 + 5p + -2p = -2 + 2p + -2p Combine like terms: 5p + -2p = 3p -11 + 3p = -2 + 2p + -2p Combine like terms: 2p + -2p = 0 -11 + 3p = -2 + 0 -11 + 3p = -2 Add '11' to each side of the equation. -11 + 11 + 3p = -2 + 11 Combine like terms: -11 + 11 = 0 0 + 3p = -2 + 11 3p = -2 + 11 Combine like terms: -2 + 11 = 9 3p = 9 Divide each side by '3'. p = 3 Simplifying p = 3
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