38=5(2b-3)+3b+1

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Solution for 38=5(2b-3)+3b+1 equation:


Simplifying
38 = 5(2b + -3) + 3b + 1

Reorder the terms:
38 = 5(-3 + 2b) + 3b + 1
38 = (-3 * 5 + 2b * 5) + 3b + 1
38 = (-15 + 10b) + 3b + 1

Reorder the terms:
38 = -15 + 1 + 10b + 3b

Combine like terms: -15 + 1 = -14
38 = -14 + 10b + 3b

Combine like terms: 10b + 3b = 13b
38 = -14 + 13b

Solving
38 = -14 + 13b

Solving for variable 'b'.

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

Add '-13b' to each side of the equation.
38 + -13b = -14 + 13b + -13b

Combine like terms: 13b + -13b = 0
38 + -13b = -14 + 0
38 + -13b = -14

Add '-38' to each side of the equation.
38 + -38 + -13b = -14 + -38

Combine like terms: 38 + -38 = 0
0 + -13b = -14 + -38
-13b = -14 + -38

Combine like terms: -14 + -38 = -52
-13b = -52

Divide each side by '-13'.
b = 4

Simplifying
b = 4

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