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Simplifying -11 + 10(p + 10) = 4 + -5(2k + 12) Reorder the terms: -11 + 10(10 + p) = 4 + -5(2k + 12) -11 + (10 * 10 + p * 10) = 4 + -5(2k + 12) -11 + (100 + 10p) = 4 + -5(2k + 12) Combine like terms: -11 + 100 = 89 89 + 10p = 4 + -5(2k + 12) Reorder the terms: 89 + 10p = 4 + -5(12 + 2k) 89 + 10p = 4 + (12 * -5 + 2k * -5) 89 + 10p = 4 + (-60 + -10k) Combine like terms: 4 + -60 = -56 89 + 10p = -56 + -10k Solving 89 + 10p = -56 + -10k Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + 10p = -56 + -89 + -10k Combine like terms: 89 + -89 = 0 0 + 10p = -56 + -89 + -10k 10p = -56 + -89 + -10k Combine like terms: -56 + -89 = -145 10p = -145 + -10k Divide each side by '10'. p = -14.5 + -1k Simplifying p = -14.5 + -1k
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