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Simplifying -26p + -5(5 + -6p) = 2(p + -4) + -11 -26p + (5 * -5 + -6p * -5) = 2(p + -4) + -11 -26p + (-25 + 30p) = 2(p + -4) + -11 Reorder the terms: -25 + -26p + 30p = 2(p + -4) + -11 Combine like terms: -26p + 30p = 4p -25 + 4p = 2(p + -4) + -11 Reorder the terms: -25 + 4p = 2(-4 + p) + -11 -25 + 4p = (-4 * 2 + p * 2) + -11 -25 + 4p = (-8 + 2p) + -11 Reorder the terms: -25 + 4p = -8 + -11 + 2p Combine like terms: -8 + -11 = -19 -25 + 4p = -19 + 2p Solving -25 + 4p = -19 + 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. -25 + 4p + -2p = -19 + 2p + -2p Combine like terms: 4p + -2p = 2p -25 + 2p = -19 + 2p + -2p Combine like terms: 2p + -2p = 0 -25 + 2p = -19 + 0 -25 + 2p = -19 Add '25' to each side of the equation. -25 + 25 + 2p = -19 + 25 Combine like terms: -25 + 25 = 0 0 + 2p = -19 + 25 2p = -19 + 25 Combine like terms: -19 + 25 = 6 2p = 6 Divide each side by '2'. p = 3 Simplifying p = 3
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