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Simplifying -11 + 12(p + 10) = 4 + -5(2p + 11) Reorder the terms: -11 + 12(10 + p) = 4 + -5(2p + 11) -11 + (10 * 12 + p * 12) = 4 + -5(2p + 11) -11 + (120 + 12p) = 4 + -5(2p + 11) Combine like terms: -11 + 120 = 109 109 + 12p = 4 + -5(2p + 11) Reorder the terms: 109 + 12p = 4 + -5(11 + 2p) 109 + 12p = 4 + (11 * -5 + 2p * -5) 109 + 12p = 4 + (-55 + -10p) Combine like terms: 4 + -55 = -51 109 + 12p = -51 + -10p Solving 109 + 12p = -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. 109 + 12p + 10p = -51 + -10p + 10p Combine like terms: 12p + 10p = 22p 109 + 22p = -51 + -10p + 10p Combine like terms: -10p + 10p = 0 109 + 22p = -51 + 0 109 + 22p = -51 Add '-109' to each side of the equation. 109 + -109 + 22p = -51 + -109 Combine like terms: 109 + -109 = 0 0 + 22p = -51 + -109 22p = -51 + -109 Combine like terms: -51 + -109 = -160 22p = -160 Divide each side by '22'. p = -7.272727273 Simplifying p = -7.272727273
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