0.4(t-6)=0.3(2t+5)

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Solution for 0.4(t-6)=0.3(2t+5) equation: 


Simplifying
0.4(t + -6) = 0.3(2t + 5)

Reorder the terms:
0.4(-6 + t) = 0.3(2t + 5)
(-6 * 0.4 + t * 0.4) = 0.3(2t + 5)
(-2.4 + 0.4t) = 0.3(2t + 5)

Reorder the terms:
-2.4 + 0.4t = 0.3(5 + 2t)
-2.4 + 0.4t = (5 * 0.3 + 2t * 0.3)
-2.4 + 0.4t = (1.5 + 0.6t)

Solving
-2.4 + 0.4t = 1.5 + 0.6t

Solving for variable 't'.

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

Add '-0.6t' to each side of the equation.
-2.4 + 0.4t + -0.6t = 1.5 + 0.6t + -0.6t

Combine like terms: 0.4t + -0.6t = -0.2t
-2.4 + -0.2t = 1.5 + 0.6t + -0.6t

Combine like terms: 0.6t + -0.6t = 0.0
-2.4 + -0.2t = 1.5 + 0.0
-2.4 + -0.2t = 1.5

Add '2.4' to each side of the equation.
-2.4 + 2.4 + -0.2t = 1.5 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + -0.2t = 1.5 + 2.4
-0.2t = 1.5 + 2.4

Combine like terms: 1.5 + 2.4 = 3.9
-0.2t = 3.9

Divide each side by '-0.2'.
t = -19.5

Simplifying
t = -19.5

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