4(4-t)-(3-2t)=8

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Solution for 4(4-t)-(3-2t)=8 equation: 


Simplifying
4(4 + -1t) + -1(3 + -2t) = 8
(4 * 4 + -1t * 4) + -1(3 + -2t) = 8
(16 + -4t) + -1(3 + -2t) = 8
16 + -4t + (3 * -1 + -2t * -1) = 8
16 + -4t + (-3 + 2t) = 8

Reorder the terms:
16 + -3 + -4t + 2t = 8

Combine like terms: 16 + -3 = 13
13 + -4t + 2t = 8

Combine like terms: -4t + 2t = -2t
13 + -2t = 8

Solving
13 + -2t = 8

Solving for variable 't'.

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

Add '-13' to each side of the equation.
13 + -13 + -2t = 8 + -13

Combine like terms: 13 + -13 = 0
0 + -2t = 8 + -13
-2t = 8 + -13

Combine like terms: 8 + -13 = -5
-2t = -5

Divide each side by '-2'.
t = 2.5

Simplifying
t = 2.5

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