6(3-t)-(2-4t)=7

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Solution for 6(3-t)-(2-4t)=7 equation: 


Simplifying
6(3 + -1t) + -1(2 + -4t) = 7
(3 * 6 + -1t * 6) + -1(2 + -4t) = 7
(18 + -6t) + -1(2 + -4t) = 7
18 + -6t + (2 * -1 + -4t * -1) = 7
18 + -6t + (-2 + 4t) = 7

Reorder the terms:
18 + -2 + -6t + 4t = 7

Combine like terms: 18 + -2 = 16
16 + -6t + 4t = 7

Combine like terms: -6t + 4t = -2t
16 + -2t = 7

Solving
16 + -2t = 7

Solving for variable 't'.

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

Add '-16' to each side of the equation.
16 + -16 + -2t = 7 + -16

Combine like terms: 16 + -16 = 0
0 + -2t = 7 + -16
-2t = 7 + -16

Combine like terms: 7 + -16 = -9
-2t = -9

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

Simplifying
t = 4.5

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