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Simplifying -2 + 3(20p + -18) = 4(11p + -2) Reorder the terms: -2 + 3(-18 + 20p) = 4(11p + -2) -2 + (-18 * 3 + 20p * 3) = 4(11p + -2) -2 + (-54 + 60p) = 4(11p + -2) Combine like terms: -2 + -54 = -56 -56 + 60p = 4(11p + -2) Reorder the terms: -56 + 60p = 4(-2 + 11p) -56 + 60p = (-2 * 4 + 11p * 4) -56 + 60p = (-8 + 44p) Solving -56 + 60p = -8 + 44p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-44p' to each side of the equation. -56 + 60p + -44p = -8 + 44p + -44p Combine like terms: 60p + -44p = 16p -56 + 16p = -8 + 44p + -44p Combine like terms: 44p + -44p = 0 -56 + 16p = -8 + 0 -56 + 16p = -8 Add '56' to each side of the equation. -56 + 56 + 16p = -8 + 56 Combine like terms: -56 + 56 = 0 0 + 16p = -8 + 56 16p = -8 + 56 Combine like terms: -8 + 56 = 48 16p = 48 Divide each side by '16'. p = 3 Simplifying p = 3
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