3t-2(4t-10)=4(2-t)+2

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Solution for 3t-2(4t-10)=4(2-t)+2 equation: 


Simplifying
3t + -2(4t + -10) = 4(2 + -1t) + 2

Reorder the terms:
3t + -2(-10 + 4t) = 4(2 + -1t) + 2
3t + (-10 * -2 + 4t * -2) = 4(2 + -1t) + 2
3t + (20 + -8t) = 4(2 + -1t) + 2

Reorder the terms:
20 + 3t + -8t = 4(2 + -1t) + 2

Combine like terms: 3t + -8t = -5t
20 + -5t = 4(2 + -1t) + 2
20 + -5t = (2 * 4 + -1t * 4) + 2
20 + -5t = (8 + -4t) + 2

Reorder the terms:
20 + -5t = 8 + 2 + -4t

Combine like terms: 8 + 2 = 10
20 + -5t = 10 + -4t

Solving
20 + -5t = 10 + -4t

Solving for variable 't'.

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

Add '4t' to each side of the equation.
20 + -5t + 4t = 10 + -4t + 4t

Combine like terms: -5t + 4t = -1t
20 + -1t = 10 + -4t + 4t

Combine like terms: -4t + 4t = 0
20 + -1t = 10 + 0
20 + -1t = 10

Add '-20' to each side of the equation.
20 + -20 + -1t = 10 + -20

Combine like terms: 20 + -20 = 0
0 + -1t = 10 + -20
-1t = 10 + -20

Combine like terms: 10 + -20 = -10
-1t = -10

Divide each side by '-1'.
t = 10

Simplifying
t = 10

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