8(3b+1)=7(2b+4)

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Solution for 8(3b+1)=7(2b+4) equation:


Simplifying
8(3b + 1) = 7(2b + 4)

Reorder the terms:
8(1 + 3b) = 7(2b + 4)
(1 * 8 + 3b * 8) = 7(2b + 4)
(8 + 24b) = 7(2b + 4)

Reorder the terms:
8 + 24b = 7(4 + 2b)
8 + 24b = (4 * 7 + 2b * 7)
8 + 24b = (28 + 14b)

Solving
8 + 24b = 28 + 14b

Solving for variable 'b'.

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

Add '-14b' to each side of the equation.
8 + 24b + -14b = 28 + 14b + -14b

Combine like terms: 24b + -14b = 10b
8 + 10b = 28 + 14b + -14b

Combine like terms: 14b + -14b = 0
8 + 10b = 28 + 0
8 + 10b = 28

Add '-8' to each side of the equation.
8 + -8 + 10b = 28 + -8

Combine like terms: 8 + -8 = 0
0 + 10b = 28 + -8
10b = 28 + -8

Combine like terms: 28 + -8 = 20
10b = 20

Divide each side by '10'.
b = 2

Simplifying
b = 2

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