0.1d+0.25(46-d)=6.70

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Solution for 0.1d+0.25(46-d)=6.70 equation: 


Simplifying
0.1d + 0.25(46 + -1d) = 6.70
0.1d + (46 * 0.25 + -1d * 0.25) = 6.70
0.1d + (11.5 + -0.25d) = 6.70

Reorder the terms:
11.5 + 0.1d + -0.25d = 6.70

Combine like terms: 0.1d + -0.25d = -0.15d
11.5 + -0.15d = 6.70

Solving
11.5 + -0.15d = 6.70

Solving for variable 'd'.

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

Add '-11.5' to each side of the equation.
11.5 + -11.5 + -0.15d = 6.70 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + -0.15d = 6.70 + -11.5
-0.15d = 6.70 + -11.5

Combine like terms: 6.70 + -11.5 = -4.8
-0.15d = -4.8

Divide each side by '-0.15'.
d = 32

Simplifying
d = 32

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