6b+5-b=6(b-3)+4

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Solution for 6b+5-b=6(b-3)+4 equation:


Simplifying
6b + 5 + -1b = 6(b + -3) + 4

Reorder the terms:
5 + 6b + -1b = 6(b + -3) + 4

Combine like terms: 6b + -1b = 5b
5 + 5b = 6(b + -3) + 4

Reorder the terms:
5 + 5b = 6(-3 + b) + 4
5 + 5b = (-3 * 6 + b * 6) + 4
5 + 5b = (-18 + 6b) + 4

Reorder the terms:
5 + 5b = -18 + 4 + 6b

Combine like terms: -18 + 4 = -14
5 + 5b = -14 + 6b

Solving
5 + 5b = -14 + 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.
5 + 5b + -6b = -14 + 6b + -6b

Combine like terms: 5b + -6b = -1b
5 + -1b = -14 + 6b + -6b

Combine like terms: 6b + -6b = 0
5 + -1b = -14 + 0
5 + -1b = -14

Add '-5' to each side of the equation.
5 + -5 + -1b = -14 + -5

Combine like terms: 5 + -5 = 0
0 + -1b = -14 + -5
-1b = -14 + -5

Combine like terms: -14 + -5 = -19
-1b = -19

Divide each side by '-1'.
b = 19

Simplifying
b = 19

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