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Simplifying -11(p + 10) = 4 + -5(2p + 11) Reorder the terms: -11(10 + p) = 4 + -5(2p + 11) (10 * -11 + p * -11) = 4 + -5(2p + 11) (-110 + -11p) = 4 + -5(2p + 11) Reorder the terms: -110 + -11p = 4 + -5(11 + 2p) -110 + -11p = 4 + (11 * -5 + 2p * -5) -110 + -11p = 4 + (-55 + -10p) Combine like terms: 4 + -55 = -51 -110 + -11p = -51 + -10p Solving -110 + -11p = -51 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -110 + -11p + 10p = -51 + -10p + 10p Combine like terms: -11p + 10p = -1p -110 + -1p = -51 + -10p + 10p Combine like terms: -10p + 10p = 0 -110 + -1p = -51 + 0 -110 + -1p = -51 Add '110' to each side of the equation. -110 + 110 + -1p = -51 + 110 Combine like terms: -110 + 110 = 0 0 + -1p = -51 + 110 -1p = -51 + 110 Combine like terms: -51 + 110 = 59 -1p = 59 Divide each side by '-1'. p = -59 Simplifying p = -59
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