7(6-2b)=5b+80

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Solution for 7(6-2b)=5b+80 equation:


Simplifying
7(6 + -2b) = 5b + 80
(6 * 7 + -2b * 7) = 5b + 80
(42 + -14b) = 5b + 80

Reorder the terms:
42 + -14b = 80 + 5b

Solving
42 + -14b = 80 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
42 + -14b + -5b = 80 + 5b + -5b

Combine like terms: -14b + -5b = -19b
42 + -19b = 80 + 5b + -5b

Combine like terms: 5b + -5b = 0
42 + -19b = 80 + 0
42 + -19b = 80

Add '-42' to each side of the equation.
42 + -42 + -19b = 80 + -42

Combine like terms: 42 + -42 = 0
0 + -19b = 80 + -42
-19b = 80 + -42

Combine like terms: 80 + -42 = 38
-19b = 38

Divide each side by '-19'.
b = -2

Simplifying
b = -2

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