5(3-t)-(4-3t)=8

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Solution for 5(3-t)-(4-3t)=8 equation: 


Simplifying
5(3 + -1t) + -1(4 + -3t) = 8
(3 * 5 + -1t * 5) + -1(4 + -3t) = 8
(15 + -5t) + -1(4 + -3t) = 8
15 + -5t + (4 * -1 + -3t * -1) = 8
15 + -5t + (-4 + 3t) = 8

Reorder the terms:
15 + -4 + -5t + 3t = 8

Combine like terms: 15 + -4 = 11
11 + -5t + 3t = 8

Combine like terms: -5t + 3t = -2t
11 + -2t = 8

Solving
11 + -2t = 8

Solving for variable 't'.

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

Add '-11' to each side of the equation.
11 + -11 + -2t = 8 + -11

Combine like terms: 11 + -11 = 0
0 + -2t = 8 + -11
-2t = 8 + -11

Combine like terms: 8 + -11 = -3
-2t = -3

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5

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