2(t-4+6t)=4(2t+3)-11

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Solution for 2(t-4+6t)=4(2t+3)-11 equation: 


Simplifying
2(t + -4 + 6t) = 4(2t + 3) + -11

Reorder the terms:
2(-4 + t + 6t) = 4(2t + 3) + -11

Combine like terms: t + 6t = 7t
2(-4 + 7t) = 4(2t + 3) + -11
(-4 * 2 + 7t * 2) = 4(2t + 3) + -11
(-8 + 14t) = 4(2t + 3) + -11

Reorder the terms:
-8 + 14t = 4(3 + 2t) + -11
-8 + 14t = (3 * 4 + 2t * 4) + -11
-8 + 14t = (12 + 8t) + -11

Reorder the terms:
-8 + 14t = 12 + -11 + 8t

Combine like terms: 12 + -11 = 1
-8 + 14t = 1 + 8t

Solving
-8 + 14t = 1 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
-8 + 14t + -8t = 1 + 8t + -8t

Combine like terms: 14t + -8t = 6t
-8 + 6t = 1 + 8t + -8t

Combine like terms: 8t + -8t = 0
-8 + 6t = 1 + 0
-8 + 6t = 1

Add '8' to each side of the equation.
-8 + 8 + 6t = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 6t = 1 + 8
6t = 1 + 8

Combine like terms: 1 + 8 = 9
6t = 9

Divide each side by '6'.
t = 1.5

Simplifying
t = 1.5

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