.95t+.05(10-t)=.69(10)

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Solution for .95t+.05(10-t)=.69(10) equation:


Simplifying
0.95t + 0.05(10 + -1t) = 0.69(10)
0.95t + (10 * 0.05 + -1t * 0.05) = 0.69(10)
0.95t + (0.5 + -0.05t) = 0.69(10)

Reorder the terms:
0.5 + 0.95t + -0.05t = 0.69(10)

Combine like terms: 0.95t + -0.05t = 0.9t
0.5 + 0.9t = 0.69(10)

Multiply 0.69 * 10
0.5 + 0.9t = 6.9

Solving
0.5 + 0.9t = 6.9

Solving for variable 't'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.9t = 6.9 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.9t = 6.9 + -0.5
0.9t = 6.9 + -0.5

Combine like terms: 6.9 + -0.5 = 6.4
0.9t = 6.4

Divide each side by '0.9'.
t = 7.111111111

Simplifying
t = 7.111111111

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