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Simplifying p + 7 = 4p + 1 Reorder the terms: 7 + p = 4p + 1 Reorder the terms: 7 + p = 1 + 4p Solving 7 + p = 1 + 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 + p + -4p = 1 + 4p + -4p Combine like terms: p + -4p = -3p 7 + -3p = 1 + 4p + -4p Combine like terms: 4p + -4p = 0 7 + -3p = 1 + 0 7 + -3p = 1 Add '-7' to each side of the equation. 7 + -7 + -3p = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3p = 1 + -7 -3p = 1 + -7 Combine like terms: 1 + -7 = -6 -3p = -6 Divide each side by '-3'. p = 2 Simplifying p = 2
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