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Simplifying 10p + -5 = 5 + 11(p + 1) Reorder the terms: -5 + 10p = 5 + 11(p + 1) Reorder the terms: -5 + 10p = 5 + 11(1 + p) -5 + 10p = 5 + (1 * 11 + p * 11) -5 + 10p = 5 + (11 + 11p) Combine like terms: 5 + 11 = 16 -5 + 10p = 16 + 11p Solving -5 + 10p = 16 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. -5 + 10p + -11p = 16 + 11p + -11p Combine like terms: 10p + -11p = -1p -5 + -1p = 16 + 11p + -11p Combine like terms: 11p + -11p = 0 -5 + -1p = 16 + 0 -5 + -1p = 16 Add '5' to each side of the equation. -5 + 5 + -1p = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -1p = 16 + 5 -1p = 16 + 5 Combine like terms: 16 + 5 = 21 -1p = 21 Divide each side by '-1'. p = -21 Simplifying p = -21
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