6(t-6)+6T=4(3+5)-8

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Solution for 6(t-6)+6T=4(3+5)-8 equation: 


Simplifying
6(t + -6) + 6T = 4(3 + 5) + -8

Reorder the terms:
6(-6 + t) + 6T = 4(3 + 5) + -8
(-6 * 6 + t * 6) + 6T = 4(3 + 5) + -8
(-36 + 6t) + 6T = 4(3 + 5) + -8

Reorder the terms:
-36 + 6T + 6t = 4(3 + 5) + -8

Combine like terms: 3 + 5 = 8
-36 + 6T + 6t = 4(8) + -8

Multiply 4 * 8
-36 + 6T + 6t = 32 + -8

Combine like terms: 32 + -8 = 24
-36 + 6T + 6t = 24

Solving
-36 + 6T + 6t = 24

Solving for variable 'T'.

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

Add '36' to each side of the equation.
-36 + 6T + 36 + 6t = 24 + 36

Reorder the terms:
-36 + 36 + 6T + 6t = 24 + 36

Combine like terms: -36 + 36 = 0
0 + 6T + 6t = 24 + 36
6T + 6t = 24 + 36

Combine like terms: 24 + 36 = 60
6T + 6t = 60

Add '-6t' to each side of the equation.
6T + 6t + -6t = 60 + -6t

Combine like terms: 6t + -6t = 0
6T + 0 = 60 + -6t
6T = 60 + -6t

Divide each side by '6'.
T = 10 + -1t

Simplifying
T = 10 + -1t

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