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Simplifying -123 = -7(4p + 1) Reorder the terms: -123 = -7(1 + 4p) -123 = (1 * -7 + 4p * -7) -123 = (-7 + -28p) Solving -123 = -7 + -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. -123 + 28p = -7 + -28p + 28p Combine like terms: -28p + 28p = 0 -123 + 28p = -7 + 0 -123 + 28p = -7 Add '123' to each side of the equation. -123 + 123 + 28p = -7 + 123 Combine like terms: -123 + 123 = 0 0 + 28p = -7 + 123 28p = -7 + 123 Combine like terms: -7 + 123 = 116 28p = 116 Divide each side by '28'. p = 4.142857143 Simplifying p = 4.142857143
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