10(t-6)+4t=7(2+2)-13

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Solution for 10(t-6)+4t=7(2+2)-13 equation: 


Simplifying
10(t + -6) + 4t = 7(2 + 2) + -13

Reorder the terms:
10(-6 + t) + 4t = 7(2 + 2) + -13
(-6 * 10 + t * 10) + 4t = 7(2 + 2) + -13
(-60 + 10t) + 4t = 7(2 + 2) + -13

Combine like terms: 10t + 4t = 14t
-60 + 14t = 7(2 + 2) + -13

Combine like terms: 2 + 2 = 4
-60 + 14t = 7(4) + -13

Multiply 7 * 4
-60 + 14t = 28 + -13

Combine like terms: 28 + -13 = 15
-60 + 14t = 15

Solving
-60 + 14t = 15

Solving for variable 't'.

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

Add '60' to each side of the equation.
-60 + 60 + 14t = 15 + 60

Combine like terms: -60 + 60 = 0
0 + 14t = 15 + 60
14t = 15 + 60

Combine like terms: 15 + 60 = 75
14t = 75

Divide each side by '14'.
t = 5.357142857

Simplifying
t = 5.357142857

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