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Simplifying -3(p + -11) + 5 = -4 + -4(p + -5) Reorder the terms: -3(-11 + p) + 5 = -4 + -4(p + -5) (-11 * -3 + p * -3) + 5 = -4 + -4(p + -5) (33 + -3p) + 5 = -4 + -4(p + -5) Reorder the terms: 33 + 5 + -3p = -4 + -4(p + -5) Combine like terms: 33 + 5 = 38 38 + -3p = -4 + -4(p + -5) Reorder the terms: 38 + -3p = -4 + -4(-5 + p) 38 + -3p = -4 + (-5 * -4 + p * -4) 38 + -3p = -4 + (20 + -4p) Combine like terms: -4 + 20 = 16 38 + -3p = 16 + -4p Solving 38 + -3p = 16 + -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. 38 + -3p + 4p = 16 + -4p + 4p Combine like terms: -3p + 4p = 1p 38 + 1p = 16 + -4p + 4p Combine like terms: -4p + 4p = 0 38 + 1p = 16 + 0 38 + 1p = 16 Add '-38' to each side of the equation. 38 + -38 + 1p = 16 + -38 Combine like terms: 38 + -38 = 0 0 + 1p = 16 + -38 1p = 16 + -38 Combine like terms: 16 + -38 = -22 1p = -22 Divide each side by '1'. p = -22 Simplifying p = -22
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