6(b+3)=7(b-3)

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Solution for 6(b+3)=7(b-3) equation:


Simplifying
6(b + 3) = 7(b + -3)

Reorder the terms:
6(3 + b) = 7(b + -3)
(3 * 6 + b * 6) = 7(b + -3)
(18 + 6b) = 7(b + -3)

Reorder the terms:
18 + 6b = 7(-3 + b)
18 + 6b = (-3 * 7 + b * 7)
18 + 6b = (-21 + 7b)

Solving
18 + 6b = -21 + 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.
18 + 6b + -7b = -21 + 7b + -7b

Combine like terms: 6b + -7b = -1b
18 + -1b = -21 + 7b + -7b

Combine like terms: 7b + -7b = 0
18 + -1b = -21 + 0
18 + -1b = -21

Add '-18' to each side of the equation.
18 + -18 + -1b = -21 + -18

Combine like terms: 18 + -18 = 0
0 + -1b = -21 + -18
-1b = -21 + -18

Combine like terms: -21 + -18 = -39
-1b = -39

Divide each side by '-1'.
b = 39

Simplifying
b = 39

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