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Simplifying -20p + -5(2 + -5p) = 3(p + -5) + -7 -20p + (2 * -5 + -5p * -5) = 3(p + -5) + -7 -20p + (-10 + 25p) = 3(p + -5) + -7 Reorder the terms: -10 + -20p + 25p = 3(p + -5) + -7 Combine like terms: -20p + 25p = 5p -10 + 5p = 3(p + -5) + -7 Reorder the terms: -10 + 5p = 3(-5 + p) + -7 -10 + 5p = (-5 * 3 + p * 3) + -7 -10 + 5p = (-15 + 3p) + -7 Reorder the terms: -10 + 5p = -15 + -7 + 3p Combine like terms: -15 + -7 = -22 -10 + 5p = -22 + 3p Solving -10 + 5p = -22 + 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. -10 + 5p + -3p = -22 + 3p + -3p Combine like terms: 5p + -3p = 2p -10 + 2p = -22 + 3p + -3p Combine like terms: 3p + -3p = 0 -10 + 2p = -22 + 0 -10 + 2p = -22 Add '10' to each side of the equation. -10 + 10 + 2p = -22 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = -22 + 10 2p = -22 + 10 Combine like terms: -22 + 10 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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