0.2(3t+9)=0.06(t+2)+0.06

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Solution for 0.2(3t+9)=0.06(t+2)+0.06 equation: 


Simplifying
0.2(3t + 9) = 0.06(t + 2) + 0.06

Reorder the terms:
0.2(9 + 3t) = 0.06(t + 2) + 0.06
(9 * 0.2 + 3t * 0.2) = 0.06(t + 2) + 0.06
(1.8 + 0.6t) = 0.06(t + 2) + 0.06

Reorder the terms:
1.8 + 0.6t = 0.06(2 + t) + 0.06
1.8 + 0.6t = (2 * 0.06 + t * 0.06) + 0.06
1.8 + 0.6t = (0.12 + 0.06t) + 0.06

Reorder the terms:
1.8 + 0.6t = 0.12 + 0.06 + 0.06t

Combine like terms: 0.12 + 0.06 = 0.18
1.8 + 0.6t = 0.18 + 0.06t

Solving
1.8 + 0.6t = 0.18 + 0.06t

Solving for variable 't'.

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

Add '-0.06t' to each side of the equation.
1.8 + 0.6t + -0.06t = 0.18 + 0.06t + -0.06t

Combine like terms: 0.6t + -0.06t = 0.54t
1.8 + 0.54t = 0.18 + 0.06t + -0.06t

Combine like terms: 0.06t + -0.06t = 0.00
1.8 + 0.54t = 0.18 + 0.00
1.8 + 0.54t = 0.18

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 0.54t = 0.18 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 0.54t = 0.18 + -1.8
0.54t = 0.18 + -1.8

Combine like terms: 0.18 + -1.8 = -1.62
0.54t = -1.62

Divide each side by '0.54'.
t = -3

Simplifying
t = -3

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