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Simplifying 7 + 7p + -1 = 6p + 30 + -3p Reorder the terms: 7 + -1 + 7p = 6p + 30 + -3p Combine like terms: 7 + -1 = 6 6 + 7p = 6p + 30 + -3p Reorder the terms: 6 + 7p = 30 + 6p + -3p Combine like terms: 6p + -3p = 3p 6 + 7p = 30 + 3p Solving 6 + 7p = 30 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 6 + 7p + -3p = 30 + 3p + -3p Combine like terms: 7p + -3p = 4p 6 + 4p = 30 + 3p + -3p Combine like terms: 3p + -3p = 0 6 + 4p = 30 + 0 6 + 4p = 30 Add '-6' to each side of the equation. 6 + -6 + 4p = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 4p = 30 + -6 4p = 30 + -6 Combine like terms: 30 + -6 = 24 4p = 24 Divide each side by '4'. p = 6 Simplifying p = 6
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