4(t-2)+9t=3t-6

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Solution for 4(t-2)+9t=3t-6 equation:


Simplifying
4(t + -2) + 9t = 3t + -6

Reorder the terms:
4(-2 + t) + 9t = 3t + -6
(-2 * 4 + t * 4) + 9t = 3t + -6
(-8 + 4t) + 9t = 3t + -6

Combine like terms: 4t + 9t = 13t
-8 + 13t = 3t + -6

Reorder the terms:
-8 + 13t = -6 + 3t

Solving
-8 + 13t = -6 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-8 + 13t + -3t = -6 + 3t + -3t

Combine like terms: 13t + -3t = 10t
-8 + 10t = -6 + 3t + -3t

Combine like terms: 3t + -3t = 0
-8 + 10t = -6 + 0
-8 + 10t = -6

Add '8' to each side of the equation.
-8 + 8 + 10t = -6 + 8

Combine like terms: -8 + 8 = 0
0 + 10t = -6 + 8
10t = -6 + 8

Combine like terms: -6 + 8 = 2
10t = 2

Divide each side by '10'.
t = 0.2

Simplifying
t = 0.2

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