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

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


Simplifying
2(t + -3) + -2(3t + -4) = 2 + 4(t + -6)

Reorder the terms:
2(-3 + t) + -2(3t + -4) = 2 + 4(t + -6)
(-3 * 2 + t * 2) + -2(3t + -4) = 2 + 4(t + -6)
(-6 + 2t) + -2(3t + -4) = 2 + 4(t + -6)

Reorder the terms:
-6 + 2t + -2(-4 + 3t) = 2 + 4(t + -6)
-6 + 2t + (-4 * -2 + 3t * -2) = 2 + 4(t + -6)
-6 + 2t + (8 + -6t) = 2 + 4(t + -6)

Reorder the terms:
-6 + 8 + 2t + -6t = 2 + 4(t + -6)

Combine like terms: -6 + 8 = 2
2 + 2t + -6t = 2 + 4(t + -6)

Combine like terms: 2t + -6t = -4t
2 + -4t = 2 + 4(t + -6)

Reorder the terms:
2 + -4t = 2 + 4(-6 + t)
2 + -4t = 2 + (-6 * 4 + t * 4)
2 + -4t = 2 + (-24 + 4t)

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

Solving
2 + -4t = -22 + 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.
2 + -4t + -4t = -22 + 4t + -4t

Combine like terms: -4t + -4t = -8t
2 + -8t = -22 + 4t + -4t

Combine like terms: 4t + -4t = 0
2 + -8t = -22 + 0
2 + -8t = -22

Add '-2' to each side of the equation.
2 + -2 + -8t = -22 + -2

Combine like terms: 2 + -2 = 0
0 + -8t = -22 + -2
-8t = -22 + -2

Combine like terms: -22 + -2 = -24
-8t = -24

Divide each side by '-8'.
t = 3

Simplifying
t = 3

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