0.4t-0.3=1.8-0.1(2t+9)

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Solution for 0.4t-0.3=1.8-0.1(2t+9) equation: 


Simplifying
0.4t + -0.3 = 1.8 + -0.1(2t + 9)

Reorder the terms:
-0.3 + 0.4t = 1.8 + -0.1(2t + 9)

Reorder the terms:
-0.3 + 0.4t = 1.8 + -0.1(9 + 2t)
-0.3 + 0.4t = 1.8 + (9 * -0.1 + 2t * -0.1)
-0.3 + 0.4t = 1.8 + (-0.9 + -0.2t)

Combine like terms: 1.8 + -0.9 = 0.9
-0.3 + 0.4t = 0.9 + -0.2t

Solving
-0.3 + 0.4t = 0.9 + -0.2t

Solving for variable 't'.

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

Add '0.2t' to each side of the equation.
-0.3 + 0.4t + 0.2t = 0.9 + -0.2t + 0.2t

Combine like terms: 0.4t + 0.2t = 0.6t
-0.3 + 0.6t = 0.9 + -0.2t + 0.2t

Combine like terms: -0.2t + 0.2t = 0.0
-0.3 + 0.6t = 0.9 + 0.0
-0.3 + 0.6t = 0.9

Add '0.3' to each side of the equation.
-0.3 + 0.3 + 0.6t = 0.9 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 0.6t = 0.9 + 0.3
0.6t = 0.9 + 0.3

Combine like terms: 0.9 + 0.3 = 1.2
0.6t = 1.2

Divide each side by '0.6'.
t = 2

Simplifying
t = 2

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