0.1(t+0.5)+0.2t=0.3(t-0.4)

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Solution for 0.1(t+0.5)+0.2t=0.3(t-0.4) equation: 


Simplifying
0.1(t + 0.5) + 0.2t = 0.3(t + -0.4)

Reorder the terms:
0.1(0.5 + t) + 0.2t = 0.3(t + -0.4)
(0.5 * 0.1 + t * 0.1) + 0.2t = 0.3(t + -0.4)
(0.05 + 0.1t) + 0.2t = 0.3(t + -0.4)

Combine like terms: 0.1t + 0.2t = 0.3t
0.05 + 0.3t = 0.3(t + -0.4)

Reorder the terms:
0.05 + 0.3t = 0.3(-0.4 + t)
0.05 + 0.3t = (-0.4 * 0.3 + t * 0.3)
0.05 + 0.3t = (-0.12 + 0.3t)

Add '-0.3t' to each side of the equation.
0.05 + 0.3t + -0.3t = -0.12 + 0.3t + -0.3t

Combine like terms: 0.3t + -0.3t = 0.0
0.05 + 0.0 = -0.12 + 0.3t + -0.3t
0.05 = -0.12 + 0.3t + -0.3t

Combine like terms: 0.3t + -0.3t = 0.0
0.05 = -0.12 + 0.0
0.05 = -0.12

Solving
0.05 = -0.12

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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