0.2t-0.2=-2.5-0.1(2t-7)

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Solution for 0.2t-0.2=-2.5-0.1(2t-7) equation: 


Simplifying
0.2t + -0.2 = -2.5 + -0.1(2t + -7)

Reorder the terms:
-0.2 + 0.2t = -2.5 + -0.1(2t + -7)

Reorder the terms:
-0.2 + 0.2t = -2.5 + -0.1(-7 + 2t)
-0.2 + 0.2t = -2.5 + (-7 * -0.1 + 2t * -0.1)
-0.2 + 0.2t = -2.5 + (0.7 + -0.2t)

Combine like terms: -2.5 + 0.7 = -1.8
-0.2 + 0.2t = -1.8 + -0.2t

Solving
-0.2 + 0.2t = -1.8 + -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.
-0.2 + 0.2t + 0.2t = -1.8 + -0.2t + 0.2t

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

Combine like terms: -0.2t + 0.2t = 0.0
-0.2 + 0.4t = -1.8 + 0.0
-0.2 + 0.4t = -1.8

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 0.4t = -1.8 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 0.4t = -1.8 + 0.2
0.4t = -1.8 + 0.2

Combine like terms: -1.8 + 0.2 = -1.6
0.4t = -1.6

Divide each side by '0.4'.
t = -4

Simplifying
t = -4

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