.85t+.15(10-t)=8.7

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Solution for .85t+.15(10-t)=8.7 equation:


Simplifying
0.85t + 0.15(10 + -1t) = 8.7
0.85t + (10 * 0.15 + -1t * 0.15) = 8.7
0.85t + (1.5 + -0.15t) = 8.7

Reorder the terms:
1.5 + 0.85t + -0.15t = 8.7

Combine like terms: 0.85t + -0.15t = 0.7t
1.5 + 0.7t = 8.7

Solving
1.5 + 0.7t = 8.7

Solving for variable 't'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.7t = 8.7 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.7t = 8.7 + -1.5
0.7t = 8.7 + -1.5

Combine like terms: 8.7 + -1.5 = 7.2
0.7t = 7.2

Divide each side by '0.7'.
t = 10.28571429

Simplifying
t = 10.28571429

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