32+7b=-4+3(7b-2)

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Solution for 32+7b=-4+3(7b-2) equation: 


Simplifying
32 + 7b = -4 + 3(7b + -2)

Reorder the terms:
32 + 7b = -4 + 3(-2 + 7b)
32 + 7b = -4 + (-2 * 3 + 7b * 3)
32 + 7b = -4 + (-6 + 21b)

Combine like terms: -4 + -6 = -10
32 + 7b = -10 + 21b

Solving
32 + 7b = -10 + 21b

Solving for variable 'b'.

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

Add '-21b' to each side of the equation.
32 + 7b + -21b = -10 + 21b + -21b

Combine like terms: 7b + -21b = -14b
32 + -14b = -10 + 21b + -21b

Combine like terms: 21b + -21b = 0
32 + -14b = -10 + 0
32 + -14b = -10

Add '-32' to each side of the equation.
32 + -32 + -14b = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -14b = -10 + -32
-14b = -10 + -32

Combine like terms: -10 + -32 = -42
-14b = -42

Divide each side by '-14'.
b = 3

Simplifying
b = 3

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