d+3.5+4d=10-7d+22

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Solution for d+3.5+4d=10-7d+22 equation:


Simplifying
d + 3.5 + 4d = 10 + -7d + 22

Reorder the terms:
3.5 + d + 4d = 10 + -7d + 22

Combine like terms: d + 4d = 5d
3.5 + 5d = 10 + -7d + 22

Reorder the terms:
3.5 + 5d = 10 + 22 + -7d

Combine like terms: 10 + 22 = 32
3.5 + 5d = 32 + -7d

Solving
3.5 + 5d = 32 + -7d

Solving for variable 'd'.

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

Add '7d' to each side of the equation.
3.5 + 5d + 7d = 32 + -7d + 7d

Combine like terms: 5d + 7d = 12d
3.5 + 12d = 32 + -7d + 7d

Combine like terms: -7d + 7d = 0
3.5 + 12d = 32 + 0
3.5 + 12d = 32

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 12d = 32 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 12d = 32 + -3.5
12d = 32 + -3.5

Combine like terms: 32 + -3.5 = 28.5
12d = 28.5

Divide each side by '12'.
d = 2.375

Simplifying
d = 2.375

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