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Simplifying 11(4p + 4) + -4 = 4(7p + -7) Reorder the terms: 11(4 + 4p) + -4 = 4(7p + -7) (4 * 11 + 4p * 11) + -4 = 4(7p + -7) (44 + 44p) + -4 = 4(7p + -7) Reorder the terms: 44 + -4 + 44p = 4(7p + -7) Combine like terms: 44 + -4 = 40 40 + 44p = 4(7p + -7) Reorder the terms: 40 + 44p = 4(-7 + 7p) 40 + 44p = (-7 * 4 + 7p * 4) 40 + 44p = (-28 + 28p) Solving 40 + 44p = -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. 40 + 44p + -28p = -28 + 28p + -28p Combine like terms: 44p + -28p = 16p 40 + 16p = -28 + 28p + -28p Combine like terms: 28p + -28p = 0 40 + 16p = -28 + 0 40 + 16p = -28 Add '-40' to each side of the equation. 40 + -40 + 16p = -28 + -40 Combine like terms: 40 + -40 = 0 0 + 16p = -28 + -40 16p = -28 + -40 Combine like terms: -28 + -40 = -68 16p = -68 Divide each side by '16'. p = -4.25 Simplifying p = -4.25
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