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Simplifying -21p + -5(4 + -5p) = 2(p + -5) + -2 -21p + (4 * -5 + -5p * -5) = 2(p + -5) + -2 -21p + (-20 + 25p) = 2(p + -5) + -2 Reorder the terms: -20 + -21p + 25p = 2(p + -5) + -2 Combine like terms: -21p + 25p = 4p -20 + 4p = 2(p + -5) + -2 Reorder the terms: -20 + 4p = 2(-5 + p) + -2 -20 + 4p = (-5 * 2 + p * 2) + -2 -20 + 4p = (-10 + 2p) + -2 Reorder the terms: -20 + 4p = -10 + -2 + 2p Combine like terms: -10 + -2 = -12 -20 + 4p = -12 + 2p Solving -20 + 4p = -12 + 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. -20 + 4p + -2p = -12 + 2p + -2p Combine like terms: 4p + -2p = 2p -20 + 2p = -12 + 2p + -2p Combine like terms: 2p + -2p = 0 -20 + 2p = -12 + 0 -20 + 2p = -12 Add '20' to each side of the equation. -20 + 20 + 2p = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 2p = -12 + 20 2p = -12 + 20 Combine like terms: -12 + 20 = 8 2p = 8 Divide each side by '2'. p = 4 Simplifying p = 4
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