0.6(0.2t-12)=0.4(0.3+0.4t)

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Solution for 0.6(0.2t-12)=0.4(0.3+0.4t) equation: 


Simplifying
0.6(0.2t + -12) = 0.4(0.3 + 0.4t)

Reorder the terms:
0.6(-12 + 0.2t) = 0.4(0.3 + 0.4t)
(-12 * 0.6 + 0.2t * 0.6) = 0.4(0.3 + 0.4t)
(-7.2 + 0.12t) = 0.4(0.3 + 0.4t)
-7.2 + 0.12t = (0.3 * 0.4 + 0.4t * 0.4)
-7.2 + 0.12t = (0.12 + 0.16t)

Solving
-7.2 + 0.12t = 0.12 + 0.16t

Solving for variable 't'.

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

Add '-0.16t' to each side of the equation.
-7.2 + 0.12t + -0.16t = 0.12 + 0.16t + -0.16t

Combine like terms: 0.12t + -0.16t = -0.04t
-7.2 + -0.04t = 0.12 + 0.16t + -0.16t

Combine like terms: 0.16t + -0.16t = 0.00
-7.2 + -0.04t = 0.12 + 0.00
-7.2 + -0.04t = 0.12

Add '7.2' to each side of the equation.
-7.2 + 7.2 + -0.04t = 0.12 + 7.2

Combine like terms: -7.2 + 7.2 = 0.0
0.0 + -0.04t = 0.12 + 7.2
-0.04t = 0.12 + 7.2

Combine like terms: 0.12 + 7.2 = 7.32
-0.04t = 7.32

Divide each side by '-0.04'.
t = -183

Simplifying
t = -183

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