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Simplifying -20p + -5(4 + -5p) = 3(p + -3) + -15 -20p + (4 * -5 + -5p * -5) = 3(p + -3) + -15 -20p + (-20 + 25p) = 3(p + -3) + -15 Reorder the terms: -20 + -20p + 25p = 3(p + -3) + -15 Combine like terms: -20p + 25p = 5p -20 + 5p = 3(p + -3) + -15 Reorder the terms: -20 + 5p = 3(-3 + p) + -15 -20 + 5p = (-3 * 3 + p * 3) + -15 -20 + 5p = (-9 + 3p) + -15 Reorder the terms: -20 + 5p = -9 + -15 + 3p Combine like terms: -9 + -15 = -24 -20 + 5p = -24 + 3p Solving -20 + 5p = -24 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -20 + 5p + -3p = -24 + 3p + -3p Combine like terms: 5p + -3p = 2p -20 + 2p = -24 + 3p + -3p Combine like terms: 3p + -3p = 0 -20 + 2p = -24 + 0 -20 + 2p = -24 Add '20' to each side of the equation. -20 + 20 + 2p = -24 + 20 Combine like terms: -20 + 20 = 0 0 + 2p = -24 + 20 2p = -24 + 20 Combine like terms: -24 + 20 = -4 2p = -4 Divide each side by '2'. p = -2 Simplifying p = -2
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