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Simplifying -1((0)(967)(T + -85) + (400)(4186)(T + -85)) = (45)(500)(T + -22) Reorder the terms: -1(0 * 967(-85 + T) + (400)(4186)(T + -85)) = (45)(500)(T + -22) Multiply 0 * 967 -1(0(-85 + T) + (400)(4186)(T + -85)) = (45)(500)(T + -22) Anything times zero is zero. -1(0(-85 + T) + (400)(4186)(T + -85)) = (45)(500)(T + -22) Reorder the terms: -1(0 + 400 * 4186(-85 + T)) = (45)(500)(T + -22) Multiply 400 * 4186 -1(0 + 1674400(-85 + T)) = (45)(500)(T + -22) -1(0 + (-85 * 1674400 + T * 1674400)) = (45)(500)(T + -22) -1(0 + (-142324000 + 1674400T)) = (45)(500)(T + -22) Combine like terms: 0 + -142324000 = -142324000 -1(-142324000 + 1674400T) = (45)(500)(T + -22) (-142324000 * -1 + 1674400T * -1) = (45)(500)(T + -22) (142324000 + -1674400T) = (45)(500)(T + -22) Reorder the terms: 142324000 + -1674400T = 45 * 500(-22 + T) Multiply 45 * 500 142324000 + -1674400T = 22500(-22 + T) 142324000 + -1674400T = (-22 * 22500 + T * 22500) 142324000 + -1674400T = (-495000 + 22500T) Solving 142324000 + -1674400T = -495000 + 22500T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-22500T' to each side of the equation. 142324000 + -1674400T + -22500T = -495000 + 22500T + -22500T Combine like terms: -1674400T + -22500T = -1696900T 142324000 + -1696900T = -495000 + 22500T + -22500T Combine like terms: 22500T + -22500T = 0 142324000 + -1696900T = -495000 + 0 142324000 + -1696900T = -495000 Add '-142324000' to each side of the equation. 142324000 + -142324000 + -1696900T = -495000 + -142324000 Combine like terms: 142324000 + -142324000 = 0 0 + -1696900T = -495000 + -142324000 -1696900T = -495000 + -142324000 Combine like terms: -495000 + -142324000 = -142819000 -1696900T = -142819000 Divide each side by '-1696900'. T = 84.16465319 Simplifying T = 84.16465319
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