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Simplifying 2p + -4 = 5(p + -1) + -2(5 + 2p) Reorder the terms: -4 + 2p = 5(p + -1) + -2(5 + 2p) Reorder the terms: -4 + 2p = 5(-1 + p) + -2(5 + 2p) -4 + 2p = (-1 * 5 + p * 5) + -2(5 + 2p) -4 + 2p = (-5 + 5p) + -2(5 + 2p) -4 + 2p = -5 + 5p + (5 * -2 + 2p * -2) -4 + 2p = -5 + 5p + (-10 + -4p) Reorder the terms: -4 + 2p = -5 + -10 + 5p + -4p Combine like terms: -5 + -10 = -15 -4 + 2p = -15 + 5p + -4p Combine like terms: 5p + -4p = 1p -4 + 2p = -15 + 1p Solving -4 + 2p = -15 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -4 + 2p + -1p = -15 + 1p + -1p Combine like terms: 2p + -1p = 1p -4 + 1p = -15 + 1p + -1p Combine like terms: 1p + -1p = 0 -4 + 1p = -15 + 0 -4 + 1p = -15 Add '4' to each side of the equation. -4 + 4 + 1p = -15 + 4 Combine like terms: -4 + 4 = 0 0 + 1p = -15 + 4 1p = -15 + 4 Combine like terms: -15 + 4 = -11 1p = -11 Divide each side by '1'. p = -11 Simplifying p = -11
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