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

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


Simplifying
4t + -3(4 + -2t) = 2(t + -3) + 6t + 2
4t + (4 * -3 + -2t * -3) = 2(t + -3) + 6t + 2
4t + (-12 + 6t) = 2(t + -3) + 6t + 2

Reorder the terms:
-12 + 4t + 6t = 2(t + -3) + 6t + 2

Combine like terms: 4t + 6t = 10t
-12 + 10t = 2(t + -3) + 6t + 2

Reorder the terms:
-12 + 10t = 2(-3 + t) + 6t + 2
-12 + 10t = (-3 * 2 + t * 2) + 6t + 2
-12 + 10t = (-6 + 2t) + 6t + 2

Reorder the terms:
-12 + 10t = -6 + 2 + 2t + 6t

Combine like terms: -6 + 2 = -4
-12 + 10t = -4 + 2t + 6t

Combine like terms: 2t + 6t = 8t
-12 + 10t = -4 + 8t

Solving
-12 + 10t = -4 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
-12 + 10t + -8t = -4 + 8t + -8t

Combine like terms: 10t + -8t = 2t
-12 + 2t = -4 + 8t + -8t

Combine like terms: 8t + -8t = 0
-12 + 2t = -4 + 0
-12 + 2t = -4

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

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

Combine like terms: -4 + 12 = 8
2t = 8

Divide each side by '2'.
t = 4

Simplifying
t = 4

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