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

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


Simplifying
5 + -2(6 + -1d) = 2(2d + 6) + 1
5 + (6 * -2 + -1d * -2) = 2(2d + 6) + 1
5 + (-12 + 2d) = 2(2d + 6) + 1

Combine like terms: 5 + -12 = -7
-7 + 2d = 2(2d + 6) + 1

Reorder the terms:
-7 + 2d = 2(6 + 2d) + 1
-7 + 2d = (6 * 2 + 2d * 2) + 1
-7 + 2d = (12 + 4d) + 1

Reorder the terms:
-7 + 2d = 12 + 1 + 4d

Combine like terms: 12 + 1 = 13
-7 + 2d = 13 + 4d

Solving
-7 + 2d = 13 + 4d

Solving for variable 'd'.

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

Add '-4d' to each side of the equation.
-7 + 2d + -4d = 13 + 4d + -4d

Combine like terms: 2d + -4d = -2d
-7 + -2d = 13 + 4d + -4d

Combine like terms: 4d + -4d = 0
-7 + -2d = 13 + 0
-7 + -2d = 13

Add '7' to each side of the equation.
-7 + 7 + -2d = 13 + 7

Combine like terms: -7 + 7 = 0
0 + -2d = 13 + 7
-2d = 13 + 7

Combine like terms: 13 + 7 = 20
-2d = 20

Divide each side by '-2'.
d = -10

Simplifying
d = -10

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