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

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


Simplifying
4 + -1(t + 2) = -2 + 3(t + -4)

Reorder the terms:
4 + -1(2 + t) = -2 + 3(t + -4)
4 + (2 * -1 + t * -1) = -2 + 3(t + -4)
4 + (-2 + -1t) = -2 + 3(t + -4)

Combine like terms: 4 + -2 = 2
2 + -1t = -2 + 3(t + -4)

Reorder the terms:
2 + -1t = -2 + 3(-4 + t)
2 + -1t = -2 + (-4 * 3 + t * 3)
2 + -1t = -2 + (-12 + 3t)

Combine like terms: -2 + -12 = -14
2 + -1t = -14 + 3t

Solving
2 + -1t = -14 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
2 + -1t + -3t = -14 + 3t + -3t

Combine like terms: -1t + -3t = -4t
2 + -4t = -14 + 3t + -3t

Combine like terms: 3t + -3t = 0
2 + -4t = -14 + 0
2 + -4t = -14

Add '-2' to each side of the equation.
2 + -2 + -4t = -14 + -2

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

Combine like terms: -14 + -2 = -16
-4t = -16

Divide each side by '-4'.
t = 4

Simplifying
t = 4

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