-6t-[4-(2-3t)]=4(t-1)

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Solution for -6t-[4-(2-3t)]=4(t-1) equation:


Simplifying
-6t + -1[4 + -1(2 + -3t)] = 4(t + -1)
-6t + -1[4 + (2 * -1 + -3t * -1)] = 4(t + -1)
-6t + -1[4 + (-2 + 3t)] = 4(t + -1)

Combine like terms: 4 + -2 = 2
-6t + -1[2 + 3t] = 4(t + -1)
-6t + [2 * -1 + 3t * -1] = 4(t + -1)
-6t + [-2 + -3t] = 4(t + -1)

Reorder the terms:
-2 + -6t + -3t = 4(t + -1)

Combine like terms: -6t + -3t = -9t
-2 + -9t = 4(t + -1)

Reorder the terms:
-2 + -9t = 4(-1 + t)
-2 + -9t = (-1 * 4 + t * 4)
-2 + -9t = (-4 + 4t)

Solving
-2 + -9t = -4 + 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 + -9t + -4t = -4 + 4t + -4t

Combine like terms: -9t + -4t = -13t
-2 + -13t = -4 + 4t + -4t

Combine like terms: 4t + -4t = 0
-2 + -13t = -4 + 0
-2 + -13t = -4

Add '2' to each side of the equation.
-2 + 2 + -13t = -4 + 2

Combine like terms: -2 + 2 = 0
0 + -13t = -4 + 2
-13t = -4 + 2

Combine like terms: -4 + 2 = -2
-13t = -2

Divide each side by '-13'.
t = 0.1538461538

Simplifying
t = 0.1538461538

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