7(t-2)+5t=6(2+2)-10

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Solution for 7(t-2)+5t=6(2+2)-10 equation: 


Simplifying
7(t + -2) + 5t = 6(2 + 2) + -10

Reorder the terms:
7(-2 + t) + 5t = 6(2 + 2) + -10
(-2 * 7 + t * 7) + 5t = 6(2 + 2) + -10
(-14 + 7t) + 5t = 6(2 + 2) + -10

Combine like terms: 7t + 5t = 12t
-14 + 12t = 6(2 + 2) + -10

Combine like terms: 2 + 2 = 4
-14 + 12t = 6(4) + -10

Multiply 6 * 4
-14 + 12t = 24 + -10

Combine like terms: 24 + -10 = 14
-14 + 12t = 14

Solving
-14 + 12t = 14

Solving for variable 't'.

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

Add '14' to each side of the equation.
-14 + 14 + 12t = 14 + 14

Combine like terms: -14 + 14 = 0
0 + 12t = 14 + 14
12t = 14 + 14

Combine like terms: 14 + 14 = 28
12t = 28

Divide each side by '12'.
t = 2.333333333

Simplifying
t = 2.333333333

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