(1*2+3*4+5*6+7*8)=T

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Solution for (1*2+3*4+5*6+7*8)=T equation: 


Simplifying
(1 * 2 + 3 * 4 + 5 * 6 + 7 * 8) = T

Multiply 1 * 2
(2 + 3 * 4 + 5 * 6 + 7 * 8) = T

Multiply 3 * 4
(2 + 12 + 5 * 6 + 7 * 8) = T

Multiply 5 * 6
(2 + 12 + 30 + 7 * 8) = T

Multiply 7 * 8
(2 + 12 + 30 + 56) = T

Combine like terms: 2 + 12 = 14
(14 + 30 + 56) = T

Combine like terms: 14 + 30 = 44
(44 + 56) = T

Combine like terms: 44 + 56 = 100
(100) = T
100 = T

Solving
100 = T

Solving for variable 'T'.

Move all terms containing T to the left, all other terms to the right.

Add '-1T' to each side of the equation.
100 + -1T = T + -1T

Combine like terms: T + -1T = 0
100 + -1T = 0

Add '-100' to each side of the equation.
100 + -100 + -1T = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1T = 0 + -100
-1T = 0 + -100

Combine like terms: 0 + -100 = -100
-1T = -100

Divide each side by '-1'.
T = 100

Simplifying
T = 100

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