5+2(d-2)-6(4d+3)=20d-17

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Solution for 5+2(d-2)-6(4d+3)=20d-17 equation:


Simplifying
5 + 2(d + -2) + -6(4d + 3) = 20d + -17

Reorder the terms:
5 + 2(-2 + d) + -6(4d + 3) = 20d + -17
5 + (-2 * 2 + d * 2) + -6(4d + 3) = 20d + -17
5 + (-4 + 2d) + -6(4d + 3) = 20d + -17

Reorder the terms:
5 + -4 + 2d + -6(3 + 4d) = 20d + -17
5 + -4 + 2d + (3 * -6 + 4d * -6) = 20d + -17
5 + -4 + 2d + (-18 + -24d) = 20d + -17

Reorder the terms:
5 + -4 + -18 + 2d + -24d = 20d + -17

Combine like terms: 5 + -4 = 1
1 + -18 + 2d + -24d = 20d + -17

Combine like terms: 1 + -18 = -17
-17 + 2d + -24d = 20d + -17

Combine like terms: 2d + -24d = -22d
-17 + -22d = 20d + -17

Reorder the terms:
-17 + -22d = -17 + 20d

Add '17' to each side of the equation.
-17 + 17 + -22d = -17 + 17 + 20d

Combine like terms: -17 + 17 = 0
0 + -22d = -17 + 17 + 20d
-22d = -17 + 17 + 20d

Combine like terms: -17 + 17 = 0
-22d = 0 + 20d
-22d = 20d

Solving
-22d = 20d

Solving for variable 'd'.

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

Add '-20d' to each side of the equation.
-22d + -20d = 20d + -20d

Combine like terms: -22d + -20d = -42d
-42d = 20d + -20d

Combine like terms: 20d + -20d = 0
-42d = 0

Divide each side by '-42'.
d = 0

Simplifying
d = 0

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