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Simplifying -2p + -5(5 + -2p) = 4(p + -3) + -29 -2p + (5 * -5 + -2p * -5) = 4(p + -3) + -29 -2p + (-25 + 10p) = 4(p + -3) + -29 Reorder the terms: -25 + -2p + 10p = 4(p + -3) + -29 Combine like terms: -2p + 10p = 8p -25 + 8p = 4(p + -3) + -29 Reorder the terms: -25 + 8p = 4(-3 + p) + -29 -25 + 8p = (-3 * 4 + p * 4) + -29 -25 + 8p = (-12 + 4p) + -29 Reorder the terms: -25 + 8p = -12 + -29 + 4p Combine like terms: -12 + -29 = -41 -25 + 8p = -41 + 4p Solving -25 + 8p = -41 + 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. -25 + 8p + -4p = -41 + 4p + -4p Combine like terms: 8p + -4p = 4p -25 + 4p = -41 + 4p + -4p Combine like terms: 4p + -4p = 0 -25 + 4p = -41 + 0 -25 + 4p = -41 Add '25' to each side of the equation. -25 + 25 + 4p = -41 + 25 Combine like terms: -25 + 25 = 0 0 + 4p = -41 + 25 4p = -41 + 25 Combine like terms: -41 + 25 = -16 4p = -16 Divide each side by '4'. p = -4 Simplifying p = -4
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