3(4-2d)-2(5d-5)=6

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Solution for 3(4-2d)-2(5d-5)=6 equation: 


Simplifying
3(4 + -2d) + -2(5d + -5) = 6
(4 * 3 + -2d * 3) + -2(5d + -5) = 6
(12 + -6d) + -2(5d + -5) = 6

Reorder the terms:
12 + -6d + -2(-5 + 5d) = 6
12 + -6d + (-5 * -2 + 5d * -2) = 6
12 + -6d + (10 + -10d) = 6

Reorder the terms:
12 + 10 + -6d + -10d = 6

Combine like terms: 12 + 10 = 22
22 + -6d + -10d = 6

Combine like terms: -6d + -10d = -16d
22 + -16d = 6

Solving
22 + -16d = 6

Solving for variable 'd'.

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

Add '-22' to each side of the equation.
22 + -22 + -16d = 6 + -22

Combine like terms: 22 + -22 = 0
0 + -16d = 6 + -22
-16d = 6 + -22

Combine like terms: 6 + -22 = -16
-16d = -16

Divide each side by '-16'.
d = 1

Simplifying
d = 1

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