6(b+3)=5(b+6)-1

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Solution for 6(b+3)=5(b+6)-1 equation:


Simplifying
6(b + 3) = 5(b + 6) + -1

Reorder the terms:
6(3 + b) = 5(b + 6) + -1
(3 * 6 + b * 6) = 5(b + 6) + -1
(18 + 6b) = 5(b + 6) + -1

Reorder the terms:
18 + 6b = 5(6 + b) + -1
18 + 6b = (6 * 5 + b * 5) + -1
18 + 6b = (30 + 5b) + -1

Reorder the terms:
18 + 6b = 30 + -1 + 5b

Combine like terms: 30 + -1 = 29
18 + 6b = 29 + 5b

Solving
18 + 6b = 29 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
18 + 6b + -5b = 29 + 5b + -5b

Combine like terms: 6b + -5b = 1b
18 + 1b = 29 + 5b + -5b

Combine like terms: 5b + -5b = 0
18 + 1b = 29 + 0
18 + 1b = 29

Add '-18' to each side of the equation.
18 + -18 + 1b = 29 + -18

Combine like terms: 18 + -18 = 0
0 + 1b = 29 + -18
1b = 29 + -18

Combine like terms: 29 + -18 = 11
1b = 11

Divide each side by '1'.
b = 11

Simplifying
b = 11

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