28=5(2b-3)+3b+1

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Solution for 28=5(2b-3)+3b+1 equation:


Simplifying
28 = 5(2b + -3) + 3b + 1

Reorder the terms:
28 = 5(-3 + 2b) + 3b + 1
28 = (-3 * 5 + 2b * 5) + 3b + 1
28 = (-15 + 10b) + 3b + 1

Reorder the terms:
28 = -15 + 1 + 10b + 3b

Combine like terms: -15 + 1 = -14
28 = -14 + 10b + 3b

Combine like terms: 10b + 3b = 13b
28 = -14 + 13b

Solving
28 = -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.
28 + -13b = -14 + 13b + -13b

Combine like terms: 13b + -13b = 0
28 + -13b = -14 + 0
28 + -13b = -14

Add '-28' to each side of the equation.
28 + -28 + -13b = -14 + -28

Combine like terms: 28 + -28 = 0
0 + -13b = -14 + -28
-13b = -14 + -28

Combine like terms: -14 + -28 = -42
-13b = -42

Divide each side by '-13'.
b = 3.230769231

Simplifying
b = 3.230769231

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