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Simplifying 5.5p + 7 = 1.5p + 35 Reorder the terms: 7 + 5.5p = 1.5p + 35 Reorder the terms: 7 + 5.5p = 35 + 1.5p Solving 7 + 5.5p = 35 + 1.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.5p' to each side of the equation. 7 + 5.5p + -1.5p = 35 + 1.5p + -1.5p Combine like terms: 5.5p + -1.5p = 4p 7 + 4p = 35 + 1.5p + -1.5p Combine like terms: 1.5p + -1.5p = 0.0 7 + 4p = 35 + 0.0 7 + 4p = 35 Add '-7' to each side of the equation. 7 + -7 + 4p = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 4p = 35 + -7 4p = 35 + -7 Combine like terms: 35 + -7 = 28 4p = 28 Divide each side by '4'. p = 7 Simplifying p = 7
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