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Simplifying 5(p + 4) + -7(p + -4) = 4p Reorder the terms: 5(4 + p) + -7(p + -4) = 4p (4 * 5 + p * 5) + -7(p + -4) = 4p (20 + 5p) + -7(p + -4) = 4p Reorder the terms: 20 + 5p + -7(-4 + p) = 4p 20 + 5p + (-4 * -7 + p * -7) = 4p 20 + 5p + (28 + -7p) = 4p Reorder the terms: 20 + 28 + 5p + -7p = 4p Combine like terms: 20 + 28 = 48 48 + 5p + -7p = 4p Combine like terms: 5p + -7p = -2p 48 + -2p = 4p Solving 48 + -2p = 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 48 + -2p + -4p = 4p + -4p Combine like terms: -2p + -4p = -6p 48 + -6p = 4p + -4p Combine like terms: 4p + -4p = 0 48 + -6p = 0 Add '-48' to each side of the equation. 48 + -48 + -6p = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -6p = 0 + -48 -6p = 0 + -48 Combine like terms: 0 + -48 = -48 -6p = -48 Divide each side by '-6'. p = 8 Simplifying p = 8
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