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Simplifying 5p + 7 = 4(4 + -1p) Reorder the terms: 7 + 5p = 4(4 + -1p) 7 + 5p = (4 * 4 + -1p * 4) 7 + 5p = (16 + -4p) Solving 7 + 5p = 16 + -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. 7 + 5p + 4p = 16 + -4p + 4p Combine like terms: 5p + 4p = 9p 7 + 9p = 16 + -4p + 4p Combine like terms: -4p + 4p = 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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