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

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


Simplifying
6b + 7 + -1b = 6(b + -7) + 2

Reorder the terms:
7 + 6b + -1b = 6(b + -7) + 2

Combine like terms: 6b + -1b = 5b
7 + 5b = 6(b + -7) + 2

Reorder the terms:
7 + 5b = 6(-7 + b) + 2
7 + 5b = (-7 * 6 + b * 6) + 2
7 + 5b = (-42 + 6b) + 2

Reorder the terms:
7 + 5b = -42 + 2 + 6b

Combine like terms: -42 + 2 = -40
7 + 5b = -40 + 6b

Solving
7 + 5b = -40 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
7 + 5b + -6b = -40 + 6b + -6b

Combine like terms: 5b + -6b = -1b
7 + -1b = -40 + 6b + -6b

Combine like terms: 6b + -6b = 0
7 + -1b = -40 + 0
7 + -1b = -40

Add '-7' to each side of the equation.
7 + -7 + -1b = -40 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = -40 + -7
-1b = -40 + -7

Combine like terms: -40 + -7 = -47
-1b = -47

Divide each side by '-1'.
b = 47

Simplifying
b = 47

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