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Simplifying -9p + -4(2 + -4p) = 3(p + -3) + -35 -9p + (2 * -4 + -4p * -4) = 3(p + -3) + -35 -9p + (-8 + 16p) = 3(p + -3) + -35 Reorder the terms: -8 + -9p + 16p = 3(p + -3) + -35 Combine like terms: -9p + 16p = 7p -8 + 7p = 3(p + -3) + -35 Reorder the terms: -8 + 7p = 3(-3 + p) + -35 -8 + 7p = (-3 * 3 + p * 3) + -35 -8 + 7p = (-9 + 3p) + -35 Reorder the terms: -8 + 7p = -9 + -35 + 3p Combine like terms: -9 + -35 = -44 -8 + 7p = -44 + 3p Solving -8 + 7p = -44 + 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. -8 + 7p + -3p = -44 + 3p + -3p Combine like terms: 7p + -3p = 4p -8 + 4p = -44 + 3p + -3p Combine like terms: 3p + -3p = 0 -8 + 4p = -44 + 0 -8 + 4p = -44 Add '8' to each side of the equation. -8 + 8 + 4p = -44 + 8 Combine like terms: -8 + 8 = 0 0 + 4p = -44 + 8 4p = -44 + 8 Combine like terms: -44 + 8 = -36 4p = -36 Divide each side by '4'. p = -9 Simplifying p = -9
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