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Simplifying p + -1(p + 7) = 4(p + -4) + 5p Reorder the terms: p + -1(7 + p) = 4(p + -4) + 5p p + (7 * -1 + p * -1) = 4(p + -4) + 5p p + (-7 + -1p) = 4(p + -4) + 5p Reorder the terms: -7 + p + -1p = 4(p + -4) + 5p Combine like terms: p + -1p = 0 -7 + 0 = 4(p + -4) + 5p -7 = 4(p + -4) + 5p Reorder the terms: -7 = 4(-4 + p) + 5p -7 = (-4 * 4 + p * 4) + 5p -7 = (-16 + 4p) + 5p Combine like terms: 4p + 5p = 9p -7 = -16 + 9p Solving -7 = -16 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -7 + -9p = -16 + 9p + -9p Combine like terms: 9p + -9p = 0 -7 + -9p = -16 + 0 -7 + -9p = -16 Add '7' to each side of the equation. -7 + 7 + -9p = -16 + 7 Combine like terms: -7 + 7 = 0 0 + -9p = -16 + 7 -9p = -16 + 7 Combine like terms: -16 + 7 = -9 -9p = -9 Divide each side by '-9'. p = 1 Simplifying p = 1
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