3(d-3)-2(1-3d)=6d-5

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Solution for 3(d-3)-2(1-3d)=6d-5 equation: 


Simplifying
3(d + -3) + -2(1 + -3d) = 6d + -5

Reorder the terms:
3(-3 + d) + -2(1 + -3d) = 6d + -5
(-3 * 3 + d * 3) + -2(1 + -3d) = 6d + -5
(-9 + 3d) + -2(1 + -3d) = 6d + -5
-9 + 3d + (1 * -2 + -3d * -2) = 6d + -5
-9 + 3d + (-2 + 6d) = 6d + -5

Reorder the terms:
-9 + -2 + 3d + 6d = 6d + -5

Combine like terms: -9 + -2 = -11
-11 + 3d + 6d = 6d + -5

Combine like terms: 3d + 6d = 9d
-11 + 9d = 6d + -5

Reorder the terms:
-11 + 9d = -5 + 6d

Solving
-11 + 9d = -5 + 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.
-11 + 9d + -6d = -5 + 6d + -6d

Combine like terms: 9d + -6d = 3d
-11 + 3d = -5 + 6d + -6d

Combine like terms: 6d + -6d = 0
-11 + 3d = -5 + 0
-11 + 3d = -5

Add '11' to each side of the equation.
-11 + 11 + 3d = -5 + 11

Combine like terms: -11 + 11 = 0
0 + 3d = -5 + 11
3d = -5 + 11

Combine like terms: -5 + 11 = 6
3d = 6

Divide each side by '3'.
d = 2

Simplifying
d = 2

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