2(50-3d)-3(5+2d)=43-6d

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Solution for 2(50-3d)-3(5+2d)=43-6d equation: 


Simplifying
2(50 + -3d) + -3(5 + 2d) = 43 + -6d
(50 * 2 + -3d * 2) + -3(5 + 2d) = 43 + -6d
(100 + -6d) + -3(5 + 2d) = 43 + -6d
100 + -6d + (5 * -3 + 2d * -3) = 43 + -6d
100 + -6d + (-15 + -6d) = 43 + -6d

Reorder the terms:
100 + -15 + -6d + -6d = 43 + -6d

Combine like terms: 100 + -15 = 85
85 + -6d + -6d = 43 + -6d

Combine like terms: -6d + -6d = -12d
85 + -12d = 43 + -6d

Solving
85 + -12d = 43 + -6d

Solving for variable 'd'.

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

Add '6d' to each side of the equation.
85 + -12d + 6d = 43 + -6d + 6d

Combine like terms: -12d + 6d = -6d
85 + -6d = 43 + -6d + 6d

Combine like terms: -6d + 6d = 0
85 + -6d = 43 + 0
85 + -6d = 43

Add '-85' to each side of the equation.
85 + -85 + -6d = 43 + -85

Combine like terms: 85 + -85 = 0
0 + -6d = 43 + -85
-6d = 43 + -85

Combine like terms: 43 + -85 = -42
-6d = -42

Divide each side by '-6'.
d = 7

Simplifying
d = 7

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