6(t-2)=2(t-2)

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


Simplifying
6(t + -2) = 2(t + -2)

Reorder the terms:
6(-2 + t) = 2(t + -2)
(-2 * 6 + t * 6) = 2(t + -2)
(-12 + 6t) = 2(t + -2)

Reorder the terms:
-12 + 6t = 2(-2 + t)
-12 + 6t = (-2 * 2 + t * 2)
-12 + 6t = (-4 + 2t)

Solving
-12 + 6t = -4 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
-12 + 6t + -2t = -4 + 2t + -2t

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

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

Add '12' to each side of the equation.
-12 + 12 + 4t = -4 + 12

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

Combine like terms: -4 + 12 = 8
4t = 8

Divide each side by '4'.
t = 2

Simplifying
t = 2

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