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Simplifying 11(4p + 4) + -4p = 4(7p + -7) Reorder the terms: 11(4 + 4p) + -4p = 4(7p + -7) (4 * 11 + 4p * 11) + -4p = 4(7p + -7) (44 + 44p) + -4p = 4(7p + -7) Combine like terms: 44p + -4p = 40p 44 + 40p = 4(7p + -7) Reorder the terms: 44 + 40p = 4(-7 + 7p) 44 + 40p = (-7 * 4 + 7p * 4) 44 + 40p = (-28 + 28p) Solving 44 + 40p = -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. 44 + 40p + -28p = -28 + 28p + -28p Combine like terms: 40p + -28p = 12p 44 + 12p = -28 + 28p + -28p Combine like terms: 28p + -28p = 0 44 + 12p = -28 + 0 44 + 12p = -28 Add '-44' to each side of the equation. 44 + -44 + 12p = -28 + -44 Combine like terms: 44 + -44 = 0 0 + 12p = -28 + -44 12p = -28 + -44 Combine like terms: -28 + -44 = -72 12p = -72 Divide each side by '12'. p = -6 Simplifying p = -6
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