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

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


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

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

Reorder the terms:
38 = -15 + 1 + 5b + 3b

Combine like terms: -15 + 1 = -14
38 = -14 + 5b + 3b

Combine like terms: 5b + 3b = 8b
38 = -14 + 8b

Solving
38 = -14 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
38 + -8b = -14 + 8b + -8b

Combine like terms: 8b + -8b = 0
38 + -8b = -14 + 0
38 + -8b = -14

Add '-38' to each side of the equation.
38 + -38 + -8b = -14 + -38

Combine like terms: 38 + -38 = 0
0 + -8b = -14 + -38
-8b = -14 + -38

Combine like terms: -14 + -38 = -52
-8b = -52

Divide each side by '-8'.
b = 6.5

Simplifying
b = 6.5

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