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Simplifying -11 + 10(p + 10) = 4 + -5(2p + (4x + -40) + (x + 50) * 11) Reorder the terms: -11 + 10(10 + p) = 4 + -5(2p + (4x + -40) + (x + 50) * 11) -11 + (10 * 10 + p * 10) = 4 + -5(2p + (4x + -40) + (x + 50) * 11) -11 + (100 + 10p) = 4 + -5(2p + (4x + -40) + (x + 50) * 11) Combine like terms: -11 + 100 = 89 89 + 10p = 4 + -5(2p + (4x + -40) + (x + 50) * 11) Reorder the terms: 89 + 10p = 4 + -5(2p + (-40 + 4x) + (x + 50) * 11) Remove parenthesis around (-40 + 4x) 89 + 10p = 4 + -5(2p + -40 + 4x + (x + 50) * 11) Reorder the terms: 89 + 10p = 4 + -5(2p + -40 + 4x + (50 + x) * 11) Reorder the terms for easier multiplication: 89 + 10p = 4 + -5(2p + -40 + 4x + 11(50 + x)) 89 + 10p = 4 + -5(2p + -40 + 4x + (50 * 11 + x * 11)) 89 + 10p = 4 + -5(2p + -40 + 4x + (550 + 11x)) Reorder the terms: 89 + 10p = 4 + -5(-40 + 550 + 2p + 4x + 11x) Combine like terms: -40 + 550 = 510 89 + 10p = 4 + -5(510 + 2p + 4x + 11x) Combine like terms: 4x + 11x = 15x 89 + 10p = 4 + -5(510 + 2p + 15x) 89 + 10p = 4 + (510 * -5 + 2p * -5 + 15x * -5) 89 + 10p = 4 + (-2550 + -10p + -75x) Combine like terms: 4 + -2550 = -2546 89 + 10p = -2546 + -10p + -75x Solving 89 + 10p = -2546 + -10p + -75x 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. 89 + 10p + 10p = -2546 + -10p + 10p + -75x Combine like terms: 10p + 10p = 20p 89 + 20p = -2546 + -10p + 10p + -75x Combine like terms: -10p + 10p = 0 89 + 20p = -2546 + 0 + -75x 89 + 20p = -2546 + -75x Add '-89' to each side of the equation. 89 + -89 + 20p = -2546 + -89 + -75x Combine like terms: 89 + -89 = 0 0 + 20p = -2546 + -89 + -75x 20p = -2546 + -89 + -75x Combine like terms: -2546 + -89 = -2635 20p = -2635 + -75x Divide each side by '20'. p = -131.75 + -3.75x Simplifying p = -131.75 + -3.75x
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