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Simplifying -6 + 8 + 3p = 4p + 7 Combine like terms: -6 + 8 = 2 2 + 3p = 4p + 7 Reorder the terms: 2 + 3p = 7 + 4p Solving 2 + 3p = 7 + 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. 2 + 3p + -4p = 7 + 4p + -4p Combine like terms: 3p + -4p = -1p 2 + -1p = 7 + 4p + -4p Combine like terms: 4p + -4p = 0 2 + -1p = 7 + 0 2 + -1p = 7 Add '-2' to each side of the equation. 2 + -2 + -1p = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 7 + -2 -1p = 7 + -2 Combine like terms: 7 + -2 = 5 -1p = 5 Divide each side by '-1'. p = -5 Simplifying p = -5
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