4b+7=7b-14

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Solution for 4b+7=7b-14 equation:


Simplifying
4b + 7 = 7b + -14

Reorder the terms:
7 + 4b = 7b + -14

Reorder the terms:
7 + 4b = -14 + 7b

Solving
7 + 4b = -14 + 7b

Solving for variable 'b'.

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

Add '-7b' to each side of the equation.
7 + 4b + -7b = -14 + 7b + -7b

Combine like terms: 4b + -7b = -3b
7 + -3b = -14 + 7b + -7b

Combine like terms: 7b + -7b = 0
7 + -3b = -14 + 0
7 + -3b = -14

Add '-7' to each side of the equation.
7 + -7 + -3b = -14 + -7

Combine like terms: 7 + -7 = 0
0 + -3b = -14 + -7
-3b = -14 + -7

Combine like terms: -14 + -7 = -21
-3b = -21

Divide each side by '-3'.
b = 7

Simplifying
b = 7

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