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Simplifying -1 + 4(p + -4) = -7(p + 7) + 7p Reorder the terms: -1 + 4(-4 + p) = -7(p + 7) + 7p -1 + (-4 * 4 + p * 4) = -7(p + 7) + 7p -1 + (-16 + 4p) = -7(p + 7) + 7p Combine like terms: -1 + -16 = -17 -17 + 4p = -7(p + 7) + 7p Reorder the terms: -17 + 4p = -7(7 + p) + 7p -17 + 4p = (7 * -7 + p * -7) + 7p -17 + 4p = (-49 + -7p) + 7p Combine like terms: -7p + 7p = 0 -17 + 4p = -49 + 0 -17 + 4p = -49 Solving -17 + 4p = -49 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 4p = -49 + 17 Combine like terms: -17 + 17 = 0 0 + 4p = -49 + 17 4p = -49 + 17 Combine like terms: -49 + 17 = -32 4p = -32 Divide each side by '4'. p = -8 Simplifying p = -8
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