6(4b-7)=-2b+36

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Solution for 6(4b-7)=-2b+36 equation:


Simplifying
6(4b + -7) = -2b + 36

Reorder the terms:
6(-7 + 4b) = -2b + 36
(-7 * 6 + 4b * 6) = -2b + 36
(-42 + 24b) = -2b + 36

Reorder the terms:
-42 + 24b = 36 + -2b

Solving
-42 + 24b = 36 + -2b

Solving for variable 'b'.

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

Add '2b' to each side of the equation.
-42 + 24b + 2b = 36 + -2b + 2b

Combine like terms: 24b + 2b = 26b
-42 + 26b = 36 + -2b + 2b

Combine like terms: -2b + 2b = 0
-42 + 26b = 36 + 0
-42 + 26b = 36

Add '42' to each side of the equation.
-42 + 42 + 26b = 36 + 42

Combine like terms: -42 + 42 = 0
0 + 26b = 36 + 42
26b = 36 + 42

Combine like terms: 36 + 42 = 78
26b = 78

Divide each side by '26'.
b = 3

Simplifying
b = 3

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