2(t-20)=6(3t+1)-14

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Solution for 2(t-20)=6(3t+1)-14 equation: 


Simplifying
2(t + -20) = 6(3t + 1) + -14

Reorder the terms:
2(-20 + t) = 6(3t + 1) + -14
(-20 * 2 + t * 2) = 6(3t + 1) + -14
(-40 + 2t) = 6(3t + 1) + -14

Reorder the terms:
-40 + 2t = 6(1 + 3t) + -14
-40 + 2t = (1 * 6 + 3t * 6) + -14
-40 + 2t = (6 + 18t) + -14

Reorder the terms:
-40 + 2t = 6 + -14 + 18t

Combine like terms: 6 + -14 = -8
-40 + 2t = -8 + 18t

Solving
-40 + 2t = -8 + 18t

Solving for variable 't'.

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

Add '-18t' to each side of the equation.
-40 + 2t + -18t = -8 + 18t + -18t

Combine like terms: 2t + -18t = -16t
-40 + -16t = -8 + 18t + -18t

Combine like terms: 18t + -18t = 0
-40 + -16t = -8 + 0
-40 + -16t = -8

Add '40' to each side of the equation.
-40 + 40 + -16t = -8 + 40

Combine like terms: -40 + 40 = 0
0 + -16t = -8 + 40
-16t = -8 + 40

Combine like terms: -8 + 40 = 32
-16t = 32

Divide each side by '-16'.
t = -2

Simplifying
t = -2

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