6+4(1-3t)=-3(t-4)+2

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Solution for 6+4(1-3t)=-3(t-4)+2 equation: 


Simplifying
6 + 4(1 + -3t) = -3(t + -4) + 2
6 + (1 * 4 + -3t * 4) = -3(t + -4) + 2
6 + (4 + -12t) = -3(t + -4) + 2

Combine like terms: 6 + 4 = 10
10 + -12t = -3(t + -4) + 2

Reorder the terms:
10 + -12t = -3(-4 + t) + 2
10 + -12t = (-4 * -3 + t * -3) + 2
10 + -12t = (12 + -3t) + 2

Reorder the terms:
10 + -12t = 12 + 2 + -3t

Combine like terms: 12 + 2 = 14
10 + -12t = 14 + -3t

Solving
10 + -12t = 14 + -3t

Solving for variable 't'.

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

Add '3t' to each side of the equation.
10 + -12t + 3t = 14 + -3t + 3t

Combine like terms: -12t + 3t = -9t
10 + -9t = 14 + -3t + 3t

Combine like terms: -3t + 3t = 0
10 + -9t = 14 + 0
10 + -9t = 14

Add '-10' to each side of the equation.
10 + -10 + -9t = 14 + -10

Combine like terms: 10 + -10 = 0
0 + -9t = 14 + -10
-9t = 14 + -10

Combine like terms: 14 + -10 = 4
-9t = 4

Divide each side by '-9'.
t = -0.4444444444

Simplifying
t = -0.4444444444

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