10(t-3)+8t=6(3+3)-9

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Solution for 10(t-3)+8t=6(3+3)-9 equation: 


Simplifying
10(t + -3) + 8t = 6(3 + 3) + -9

Reorder the terms:
10(-3 + t) + 8t = 6(3 + 3) + -9
(-3 * 10 + t * 10) + 8t = 6(3 + 3) + -9
(-30 + 10t) + 8t = 6(3 + 3) + -9

Combine like terms: 10t + 8t = 18t
-30 + 18t = 6(3 + 3) + -9

Combine like terms: 3 + 3 = 6
-30 + 18t = 6(6) + -9

Multiply 6 * 6
-30 + 18t = 36 + -9

Combine like terms: 36 + -9 = 27
-30 + 18t = 27

Solving
-30 + 18t = 27

Solving for variable 't'.

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

Add '30' to each side of the equation.
-30 + 30 + 18t = 27 + 30

Combine like terms: -30 + 30 = 0
0 + 18t = 27 + 30
18t = 27 + 30

Combine like terms: 27 + 30 = 57
18t = 57

Divide each side by '18'.
t = 3.166666667

Simplifying
t = 3.166666667

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