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Simplifying -1p + 38 = -5(3p + 5) + -7p Reorder the terms: 38 + -1p = -5(3p + 5) + -7p Reorder the terms: 38 + -1p = -5(5 + 3p) + -7p 38 + -1p = (5 * -5 + 3p * -5) + -7p 38 + -1p = (-25 + -15p) + -7p Combine like terms: -15p + -7p = -22p 38 + -1p = -25 + -22p Solving 38 + -1p = -25 + -22p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '22p' to each side of the equation. 38 + -1p + 22p = -25 + -22p + 22p Combine like terms: -1p + 22p = 21p 38 + 21p = -25 + -22p + 22p Combine like terms: -22p + 22p = 0 38 + 21p = -25 + 0 38 + 21p = -25 Add '-38' to each side of the equation. 38 + -38 + 21p = -25 + -38 Combine like terms: 38 + -38 = 0 0 + 21p = -25 + -38 21p = -25 + -38 Combine like terms: -25 + -38 = -63 21p = -63 Divide each side by '21'. p = -3 Simplifying p = -3
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