4(t-3)+8t=4(3+5)-10

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Solution for 4(t-3)+8t=4(3+5)-10 equation: 


Simplifying
4(t + -3) + 8t = 4(3 + 5) + -10

Reorder the terms:
4(-3 + t) + 8t = 4(3 + 5) + -10
(-3 * 4 + t * 4) + 8t = 4(3 + 5) + -10
(-12 + 4t) + 8t = 4(3 + 5) + -10

Combine like terms: 4t + 8t = 12t
-12 + 12t = 4(3 + 5) + -10

Combine like terms: 3 + 5 = 8
-12 + 12t = 4(8) + -10

Multiply 4 * 8
-12 + 12t = 32 + -10

Combine like terms: 32 + -10 = 22
-12 + 12t = 22

Solving
-12 + 12t = 22

Solving for variable 't'.

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

Add '12' to each side of the equation.
-12 + 12 + 12t = 22 + 12

Combine like terms: -12 + 12 = 0
0 + 12t = 22 + 12
12t = 22 + 12

Combine like terms: 22 + 12 = 34
12t = 34

Divide each side by '12'.
t = 2.833333333

Simplifying
t = 2.833333333

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