26+7b=7(2b-4)+5

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Solution for 26+7b=7(2b-4)+5 equation:


Simplifying
26 + 7b = 7(2b + -4) + 5

Reorder the terms:
26 + 7b = 7(-4 + 2b) + 5
26 + 7b = (-4 * 7 + 2b * 7) + 5
26 + 7b = (-28 + 14b) + 5

Reorder the terms:
26 + 7b = -28 + 5 + 14b

Combine like terms: -28 + 5 = -23
26 + 7b = -23 + 14b

Solving
26 + 7b = -23 + 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.
26 + 7b + -14b = -23 + 14b + -14b

Combine like terms: 7b + -14b = -7b
26 + -7b = -23 + 14b + -14b

Combine like terms: 14b + -14b = 0
26 + -7b = -23 + 0
26 + -7b = -23

Add '-26' to each side of the equation.
26 + -26 + -7b = -23 + -26

Combine like terms: 26 + -26 = 0
0 + -7b = -23 + -26
-7b = -23 + -26

Combine like terms: -23 + -26 = -49
-7b = -49

Divide each side by '-7'.
b = 7

Simplifying
b = 7

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