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Simplifying 5p + 38 = -7(4 + 4p) Reorder the terms: 38 + 5p = -7(4 + 4p) 38 + 5p = (4 * -7 + 4p * -7) 38 + 5p = (-28 + -28p) Solving 38 + 5p = -28 + -28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28p' to each side of the equation. 38 + 5p + 28p = -28 + -28p + 28p Combine like terms: 5p + 28p = 33p 38 + 33p = -28 + -28p + 28p Combine like terms: -28p + 28p = 0 38 + 33p = -28 + 0 38 + 33p = -28 Add '-38' to each side of the equation. 38 + -38 + 33p = -28 + -38 Combine like terms: 38 + -38 = 0 0 + 33p = -28 + -38 33p = -28 + -38 Combine like terms: -28 + -38 = -66 33p = -66 Divide each side by '33'. p = -2 Simplifying p = -2
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