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Simplifying -7 + 11p = 3p + -46 Reorder the terms: -7 + 11p = -46 + 3p Solving -7 + 11p = -46 + 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. -7 + 11p + -3p = -46 + 3p + -3p Combine like terms: 11p + -3p = 8p -7 + 8p = -46 + 3p + -3p Combine like terms: 3p + -3p = 0 -7 + 8p = -46 + 0 -7 + 8p = -46 Add '7' to each side of the equation. -7 + 7 + 8p = -46 + 7 Combine like terms: -7 + 7 = 0 0 + 8p = -46 + 7 8p = -46 + 7 Combine like terms: -46 + 7 = -39 8p = -39 Divide each side by '8'. p = -4.875 Simplifying p = -4.875
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