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Simplifying -3p + 7 = 5p + 1 Reorder the terms: 7 + -3p = 5p + 1 Reorder the terms: 7 + -3p = 1 + 5p Solving 7 + -3p = 1 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 7 + -3p + -5p = 1 + 5p + -5p Combine like terms: -3p + -5p = -8p 7 + -8p = 1 + 5p + -5p Combine like terms: 5p + -5p = 0 7 + -8p = 1 + 0 7 + -8p = 1 Add '-7' to each side of the equation. 7 + -7 + -8p = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -8p = 1 + -7 -8p = 1 + -7 Combine like terms: 1 + -7 = -6 -8p = -6 Divide each side by '-8'. p = 0.75 Simplifying p = 0.75
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