38-7b=1-3(4b+1)

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Solution for 38-7b=1-3(4b+1) equation:


Simplifying
38 + -7b = 1 + -3(4b + 1)

Reorder the terms:
38 + -7b = 1 + -3(1 + 4b)
38 + -7b = 1 + (1 * -3 + 4b * -3)
38 + -7b = 1 + (-3 + -12b)

Combine like terms: 1 + -3 = -2
38 + -7b = -2 + -12b

Solving
38 + -7b = -2 + -12b

Solving for variable 'b'.

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

Add '12b' to each side of the equation.
38 + -7b + 12b = -2 + -12b + 12b

Combine like terms: -7b + 12b = 5b
38 + 5b = -2 + -12b + 12b

Combine like terms: -12b + 12b = 0
38 + 5b = -2 + 0
38 + 5b = -2

Add '-38' to each side of the equation.
38 + -38 + 5b = -2 + -38

Combine like terms: 38 + -38 = 0
0 + 5b = -2 + -38
5b = -2 + -38

Combine like terms: -2 + -38 = -40
5b = -40

Divide each side by '5'.
b = -8

Simplifying
b = -8

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