6(2-t)=2(7-2t)-28

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Solution for 6(2-t)=2(7-2t)-28 equation: 


Simplifying
6(2 + -1t) = 2(7 + -2t) + -28
(2 * 6 + -1t * 6) = 2(7 + -2t) + -28
(12 + -6t) = 2(7 + -2t) + -28
12 + -6t = (7 * 2 + -2t * 2) + -28
12 + -6t = (14 + -4t) + -28

Reorder the terms:
12 + -6t = 14 + -28 + -4t

Combine like terms: 14 + -28 = -14
12 + -6t = -14 + -4t

Solving
12 + -6t = -14 + -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.
12 + -6t + 4t = -14 + -4t + 4t

Combine like terms: -6t + 4t = -2t
12 + -2t = -14 + -4t + 4t

Combine like terms: -4t + 4t = 0
12 + -2t = -14 + 0
12 + -2t = -14

Add '-12' to each side of the equation.
12 + -12 + -2t = -14 + -12

Combine like terms: 12 + -12 = 0
0 + -2t = -14 + -12
-2t = -14 + -12

Combine like terms: -14 + -12 = -26
-2t = -26

Divide each side by '-2'.
t = 13

Simplifying
t = 13

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