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Simplifying 11p + -4 = 10 + 7(p + 4) Reorder the terms: -4 + 11p = 10 + 7(p + 4) Reorder the terms: -4 + 11p = 10 + 7(4 + p) -4 + 11p = 10 + (4 * 7 + p * 7) -4 + 11p = 10 + (28 + 7p) Combine like terms: 10 + 28 = 38 -4 + 11p = 38 + 7p Solving -4 + 11p = 38 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -4 + 11p + -7p = 38 + 7p + -7p Combine like terms: 11p + -7p = 4p -4 + 4p = 38 + 7p + -7p Combine like terms: 7p + -7p = 0 -4 + 4p = 38 + 0 -4 + 4p = 38 Add '4' to each side of the equation. -4 + 4 + 4p = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 4p = 38 + 4 4p = 38 + 4 Combine like terms: 38 + 4 = 42 4p = 42 Divide each side by '4'. p = 10.5 Simplifying p = 10.5
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