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

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


Simplifying
2t + -3(6 + t) = 4(t + 3) + 3t
2t + (6 * -3 + t * -3) = 4(t + 3) + 3t
2t + (-18 + -3t) = 4(t + 3) + 3t

Reorder the terms:
-18 + 2t + -3t = 4(t + 3) + 3t

Combine like terms: 2t + -3t = -1t
-18 + -1t = 4(t + 3) + 3t

Reorder the terms:
-18 + -1t = 4(3 + t) + 3t
-18 + -1t = (3 * 4 + t * 4) + 3t
-18 + -1t = (12 + 4t) + 3t

Combine like terms: 4t + 3t = 7t
-18 + -1t = 12 + 7t

Solving
-18 + -1t = 12 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
-18 + -1t + -7t = 12 + 7t + -7t

Combine like terms: -1t + -7t = -8t
-18 + -8t = 12 + 7t + -7t

Combine like terms: 7t + -7t = 0
-18 + -8t = 12 + 0
-18 + -8t = 12

Add '18' to each side of the equation.
-18 + 18 + -8t = 12 + 18

Combine like terms: -18 + 18 = 0
0 + -8t = 12 + 18
-8t = 12 + 18

Combine like terms: 12 + 18 = 30
-8t = 30

Divide each side by '-8'.
t = -3.75

Simplifying
t = -3.75

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