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Simplifying 8p + 8 = 4(3p + 10) + (4 + 7p) Reorder the terms: 8 + 8p = 4(3p + 10) + (4 + 7p) Reorder the terms: 8 + 8p = 4(10 + 3p) + (4 + 7p) 8 + 8p = (10 * 4 + 3p * 4) + (4 + 7p) 8 + 8p = (40 + 12p) + (4 + 7p) Remove parenthesis around (4 + 7p) 8 + 8p = 40 + 12p + 4 + 7p Reorder the terms: 8 + 8p = 40 + 4 + 12p + 7p Combine like terms: 40 + 4 = 44 8 + 8p = 44 + 12p + 7p Combine like terms: 12p + 7p = 19p 8 + 8p = 44 + 19p Solving 8 + 8p = 44 + 19p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-19p' to each side of the equation. 8 + 8p + -19p = 44 + 19p + -19p Combine like terms: 8p + -19p = -11p 8 + -11p = 44 + 19p + -19p Combine like terms: 19p + -19p = 0 8 + -11p = 44 + 0 8 + -11p = 44 Add '-8' to each side of the equation. 8 + -8 + -11p = 44 + -8 Combine like terms: 8 + -8 = 0 0 + -11p = 44 + -8 -11p = 44 + -8 Combine like terms: 44 + -8 = 36 -11p = 36 Divide each side by '-11'. p = -3.272727273 Simplifying p = -3.272727273
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