1=2(3d+5)+3(2d+5)

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


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

Reorder the terms:
1 = 2(5 + 3d) + 3(2d + 5)
1 = (5 * 2 + 3d * 2) + 3(2d + 5)
1 = (10 + 6d) + 3(2d + 5)

Reorder the terms:
1 = 10 + 6d + 3(5 + 2d)
1 = 10 + 6d + (5 * 3 + 2d * 3)
1 = 10 + 6d + (15 + 6d)

Reorder the terms:
1 = 10 + 15 + 6d + 6d

Combine like terms: 10 + 15 = 25
1 = 25 + 6d + 6d

Combine like terms: 6d + 6d = 12d
1 = 25 + 12d

Solving
1 = 25 + 12d

Solving for variable 'd'.

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

Add '-12d' to each side of the equation.
1 + -12d = 25 + 12d + -12d

Combine like terms: 12d + -12d = 0
1 + -12d = 25 + 0
1 + -12d = 25

Add '-1' to each side of the equation.
1 + -1 + -12d = 25 + -1

Combine like terms: 1 + -1 = 0
0 + -12d = 25 + -1
-12d = 25 + -1

Combine like terms: 25 + -1 = 24
-12d = 24

Divide each side by '-12'.
d = -2

Simplifying
d = -2

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