0.76(8b+4)-2=4b+14

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Solution for 0.76(8b+4)-2=4b+14 equation: 


Simplifying
0.76(8b + 4) + -2 = 4b + 14

Reorder the terms:
0.76(4 + 8b) + -2 = 4b + 14
(4 * 0.76 + 8b * 0.76) + -2 = 4b + 14
(3.04 + 6.08b) + -2 = 4b + 14

Reorder the terms:
3.04 + -2 + 6.08b = 4b + 14

Combine like terms: 3.04 + -2 = 1.04
1.04 + 6.08b = 4b + 14

Reorder the terms:
1.04 + 6.08b = 14 + 4b

Solving
1.04 + 6.08b = 14 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
1.04 + 6.08b + -4b = 14 + 4b + -4b

Combine like terms: 6.08b + -4b = 2.08b
1.04 + 2.08b = 14 + 4b + -4b

Combine like terms: 4b + -4b = 0
1.04 + 2.08b = 14 + 0
1.04 + 2.08b = 14

Add '-1.04' to each side of the equation.
1.04 + -1.04 + 2.08b = 14 + -1.04

Combine like terms: 1.04 + -1.04 = 0.00
0.00 + 2.08b = 14 + -1.04
2.08b = 14 + -1.04

Combine like terms: 14 + -1.04 = 12.96
2.08b = 12.96

Divide each side by '2.08'.
b = 6.230769231

Simplifying
b = 6.230769231

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