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Simplifying -122 = -7(4p + 2) + 4 Reorder the terms: -122 = -7(2 + 4p) + 4 -122 = (2 * -7 + 4p * -7) + 4 -122 = (-14 + -28p) + 4 Reorder the terms: -122 = -14 + 4 + -28p Combine like terms: -14 + 4 = -10 -122 = -10 + -28p Solving -122 = -10 + -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. -122 + 28p = -10 + -28p + 28p Combine like terms: -28p + 28p = 0 -122 + 28p = -10 + 0 -122 + 28p = -10 Add '122' to each side of the equation. -122 + 122 + 28p = -10 + 122 Combine like terms: -122 + 122 = 0 0 + 28p = -10 + 122 28p = -10 + 122 Combine like terms: -10 + 122 = 112 28p = 112 Divide each side by '28'. p = 4 Simplifying p = 4
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