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Simplifying -2p + -5(3 + -2p) = 4(p + -5) + -3 -2p + (3 * -5 + -2p * -5) = 4(p + -5) + -3 -2p + (-15 + 10p) = 4(p + -5) + -3 Reorder the terms: -15 + -2p + 10p = 4(p + -5) + -3 Combine like terms: -2p + 10p = 8p -15 + 8p = 4(p + -5) + -3 Reorder the terms: -15 + 8p = 4(-5 + p) + -3 -15 + 8p = (-5 * 4 + p * 4) + -3 -15 + 8p = (-20 + 4p) + -3 Reorder the terms: -15 + 8p = -20 + -3 + 4p Combine like terms: -20 + -3 = -23 -15 + 8p = -23 + 4p Solving -15 + 8p = -23 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -15 + 8p + -4p = -23 + 4p + -4p Combine like terms: 8p + -4p = 4p -15 + 4p = -23 + 4p + -4p Combine like terms: 4p + -4p = 0 -15 + 4p = -23 + 0 -15 + 4p = -23 Add '15' to each side of the equation. -15 + 15 + 4p = -23 + 15 Combine like terms: -15 + 15 = 0 0 + 4p = -23 + 15 4p = -23 + 15 Combine like terms: -23 + 15 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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