0.2(t+56)-0.06(t-48)=20.66

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Solution for 0.2(t+56)-0.06(t-48)=20.66 equation: 


Simplifying
0.2(t + 56) + -0.06(t + -48) = 20.66

Reorder the terms:
0.2(56 + t) + -0.06(t + -48) = 20.66
(56 * 0.2 + t * 0.2) + -0.06(t + -48) = 20.66
(11.2 + 0.2t) + -0.06(t + -48) = 20.66

Reorder the terms:
11.2 + 0.2t + -0.06(-48 + t) = 20.66
11.2 + 0.2t + (-48 * -0.06 + t * -0.06) = 20.66
11.2 + 0.2t + (2.88 + -0.06t) = 20.66

Reorder the terms:
11.2 + 2.88 + 0.2t + -0.06t = 20.66

Combine like terms: 11.2 + 2.88 = 14.08
14.08 + 0.2t + -0.06t = 20.66

Combine like terms: 0.2t + -0.06t = 0.14t
14.08 + 0.14t = 20.66

Solving
14.08 + 0.14t = 20.66

Solving for variable 't'.

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

Add '-14.08' to each side of the equation.
14.08 + -14.08 + 0.14t = 20.66 + -14.08

Combine like terms: 14.08 + -14.08 = 0.00
0.00 + 0.14t = 20.66 + -14.08
0.14t = 20.66 + -14.08

Combine like terms: 20.66 + -14.08 = 6.58
0.14t = 6.58

Divide each side by '0.14'.
t = 47

Simplifying
t = 47

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