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Simplifying -3p + -5(5 + -2p) = 3(p + -4) + -29 -3p + (5 * -5 + -2p * -5) = 3(p + -4) + -29 -3p + (-25 + 10p) = 3(p + -4) + -29 Reorder the terms: -25 + -3p + 10p = 3(p + -4) + -29 Combine like terms: -3p + 10p = 7p -25 + 7p = 3(p + -4) + -29 Reorder the terms: -25 + 7p = 3(-4 + p) + -29 -25 + 7p = (-4 * 3 + p * 3) + -29 -25 + 7p = (-12 + 3p) + -29 Reorder the terms: -25 + 7p = -12 + -29 + 3p Combine like terms: -12 + -29 = -41 -25 + 7p = -41 + 3p Solving -25 + 7p = -41 + 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. -25 + 7p + -3p = -41 + 3p + -3p Combine like terms: 7p + -3p = 4p -25 + 4p = -41 + 3p + -3p Combine like terms: 3p + -3p = 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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