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Simplifying -25p + -5(2 + -6p) = 3(p + -3) + -11 -25p + (2 * -5 + -6p * -5) = 3(p + -3) + -11 -25p + (-10 + 30p) = 3(p + -3) + -11 Reorder the terms: -10 + -25p + 30p = 3(p + -3) + -11 Combine like terms: -25p + 30p = 5p -10 + 5p = 3(p + -3) + -11 Reorder the terms: -10 + 5p = 3(-3 + p) + -11 -10 + 5p = (-3 * 3 + p * 3) + -11 -10 + 5p = (-9 + 3p) + -11 Reorder the terms: -10 + 5p = -9 + -11 + 3p Combine like terms: -9 + -11 = -20 -10 + 5p = -20 + 3p Solving -10 + 5p = -20 + 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 = -20 + 3p + -3p Combine like terms: 5p + -3p = 2p -10 + 2p = -20 + 3p + -3p Combine like terms: 3p + -3p = 0 -10 + 2p = -20 + 0 -10 + 2p = -20 Add '10' to each side of the equation. -10 + 10 + 2p = -20 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = -20 + 10 2p = -20 + 10 Combine like terms: -20 + 10 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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