.75t+.25(10-t)=.69(10)

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Solution for .75t+.25(10-t)=.69(10) equation: 


Simplifying
0.75t + 0.25(10 + -1t) = 0.69(10)
0.75t + (10 * 0.25 + -1t * 0.25) = 0.69(10)
0.75t + (2.5 + -0.25t) = 0.69(10)

Reorder the terms:
2.5 + 0.75t + -0.25t = 0.69(10)

Combine like terms: 0.75t + -0.25t = 0.5t
2.5 + 0.5t = 0.69(10)

Multiply 0.69 * 10
2.5 + 0.5t = 6.9

Solving
2.5 + 0.5t = 6.9

Solving for variable 't'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.5t = 6.9 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.5t = 6.9 + -2.5
0.5t = 6.9 + -2.5

Combine like terms: 6.9 + -2.5 = 4.4
0.5t = 4.4

Divide each side by '0.5'.
t = 8.8

Simplifying
t = 8.8

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