.3(6+t)=.4(8-t)

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Solution for .3(6+t)=.4(8-t) equation: 


Simplifying
0.3(6 + t) = 0.4(8 + -1t)
(6 * 0.3 + t * 0.3) = 0.4(8 + -1t)
(1.8 + 0.3t) = 0.4(8 + -1t)
1.8 + 0.3t = (8 * 0.4 + -1t * 0.4)
1.8 + 0.3t = (3.2 + -0.4t)

Solving
1.8 + 0.3t = 3.2 + -0.4t

Solving for variable 't'.

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

Add '0.4t' to each side of the equation.
1.8 + 0.3t + 0.4t = 3.2 + -0.4t + 0.4t

Combine like terms: 0.3t + 0.4t = 0.7t
1.8 + 0.7t = 3.2 + -0.4t + 0.4t

Combine like terms: -0.4t + 0.4t = 0.0
1.8 + 0.7t = 3.2 + 0.0
1.8 + 0.7t = 3.2

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 0.7t = 3.2 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 0.7t = 3.2 + -1.8
0.7t = 3.2 + -1.8

Combine like terms: 3.2 + -1.8 = 1.4
0.7t = 1.4

Divide each side by '0.7'.
t = 2

Simplifying
t = 2

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