0.85t-0.15(10-t)=0.49(10)

Solution for 0.85t-0.15(10-t)=0.49(10) equation:

Simplifying
0.85t + -0.15(10 + -1t) = 0.49(10)
0.85t + (10 * -0.15 + -1t * -0.15) = 0.49(10)
0.85t + (-1.5 + 0.15t) = 0.49(10)

Reorder the terms:
-1.5 + 0.85t + 0.15t = 0.49(10)

Combine like terms: 0.85t + 0.15t = 1t
-1.5 + 1t = 0.49(10)

Multiply 0.49 * 10
-1.5 + 1t = 4.9

Solving
-1.5 + 1t = 4.9

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 + 1t = 4.9 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 1t = 4.9 + 1.5
1t = 4.9 + 1.5

Combine like terms: 4.9 + 1.5 = 6.4
1t = 6.4

Divide each side by '1'.
t = 6.4

Simplifying
t = 6.4