6(4t-1)-3=-4t+3(4t-7)

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Solution for 6(4t-1)-3=-4t+3(4t-7) equation:


Simplifying
6(4t + -1) + -3 = -4t + 3(4t + -7)

Reorder the terms:
6(-1 + 4t) + -3 = -4t + 3(4t + -7)
(-1 * 6 + 4t * 6) + -3 = -4t + 3(4t + -7)
(-6 + 24t) + -3 = -4t + 3(4t + -7)

Reorder the terms:
-6 + -3 + 24t = -4t + 3(4t + -7)

Combine like terms: -6 + -3 = -9
-9 + 24t = -4t + 3(4t + -7)

Reorder the terms:
-9 + 24t = -4t + 3(-7 + 4t)
-9 + 24t = -4t + (-7 * 3 + 4t * 3)
-9 + 24t = -4t + (-21 + 12t)

Reorder the terms:
-9 + 24t = -21 + -4t + 12t

Combine like terms: -4t + 12t = 8t
-9 + 24t = -21 + 8t

Solving
-9 + 24t = -21 + 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.
-9 + 24t + -8t = -21 + 8t + -8t

Combine like terms: 24t + -8t = 16t
-9 + 16t = -21 + 8t + -8t

Combine like terms: 8t + -8t = 0
-9 + 16t = -21 + 0
-9 + 16t = -21

Add '9' to each side of the equation.
-9 + 9 + 16t = -21 + 9

Combine like terms: -9 + 9 = 0
0 + 16t = -21 + 9
16t = -21 + 9

Combine like terms: -21 + 9 = -12
16t = -12

Divide each side by '16'.
t = -0.75

Simplifying
t = -0.75

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