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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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