6(4-t)-(2-4t)=13

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Solution for 6(4-t)-(2-4t)=13 equation:


Simplifying
6(4 + -1t) + -1(2 + -4t) = 13
(4 * 6 + -1t * 6) + -1(2 + -4t) = 13
(24 + -6t) + -1(2 + -4t) = 13
24 + -6t + (2 * -1 + -4t * -1) = 13
24 + -6t + (-2 + 4t) = 13

Reorder the terms:
24 + -2 + -6t + 4t = 13

Combine like terms: 24 + -2 = 22
22 + -6t + 4t = 13

Combine like terms: -6t + 4t = -2t
22 + -2t = 13

Solving
22 + -2t = 13

Solving for variable 't'.

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

Add '-22' to each side of the equation.
22 + -22 + -2t = 13 + -22

Combine like terms: 22 + -22 = 0
0 + -2t = 13 + -22
-2t = 13 + -22

Combine like terms: 13 + -22 = -9
-2t = -9

Divide each side by '-2'.
t = 4.5

Simplifying
t = 4.5

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