6t+3(5+4)=12(2t-5)

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Solution for 6t+3(5+4)=12(2t-5) equation: 


Simplifying
6t + 3(5 + 4) = 12(2t + -5)

Combine like terms: 5 + 4 = 9
6t + 3(9) = 12(2t + -5)

Multiply 3 * 9
6t + 27 = 12(2t + -5)

Reorder the terms:
27 + 6t = 12(2t + -5)

Reorder the terms:
27 + 6t = 12(-5 + 2t)
27 + 6t = (-5 * 12 + 2t * 12)
27 + 6t = (-60 + 24t)

Solving
27 + 6t = -60 + 24t

Solving for variable 't'.

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

Add '-24t' to each side of the equation.
27 + 6t + -24t = -60 + 24t + -24t

Combine like terms: 6t + -24t = -18t
27 + -18t = -60 + 24t + -24t

Combine like terms: 24t + -24t = 0
27 + -18t = -60 + 0
27 + -18t = -60

Add '-27' to each side of the equation.
27 + -27 + -18t = -60 + -27

Combine like terms: 27 + -27 = 0
0 + -18t = -60 + -27
-18t = -60 + -27

Combine like terms: -60 + -27 = -87
-18t = -87

Divide each side by '-18'.
t = 4.833333333

Simplifying
t = 4.833333333

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