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

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Solution for 3(b+7)=2(b+6)-1 equation:


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

Reorder the terms:
3(7 + b) = 2(b + 6) + -1
(7 * 3 + b * 3) = 2(b + 6) + -1
(21 + 3b) = 2(b + 6) + -1

Reorder the terms:
21 + 3b = 2(6 + b) + -1
21 + 3b = (6 * 2 + b * 2) + -1
21 + 3b = (12 + 2b) + -1

Reorder the terms:
21 + 3b = 12 + -1 + 2b

Combine like terms: 12 + -1 = 11
21 + 3b = 11 + 2b

Solving
21 + 3b = 11 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
21 + 3b + -2b = 11 + 2b + -2b

Combine like terms: 3b + -2b = 1b
21 + 1b = 11 + 2b + -2b

Combine like terms: 2b + -2b = 0
21 + 1b = 11 + 0
21 + 1b = 11

Add '-21' to each side of the equation.
21 + -21 + 1b = 11 + -21

Combine like terms: 21 + -21 = 0
0 + 1b = 11 + -21
1b = 11 + -21

Combine like terms: 11 + -21 = -10
1b = -10

Divide each side by '1'.
b = -10

Simplifying
b = -10

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