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

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


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

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

Combine like terms: 6b + -1b = 5b
2 + 5b = 6(b + -3) + 7

Reorder the terms:
2 + 5b = 6(-3 + b) + 7
2 + 5b = (-3 * 6 + b * 6) + 7
2 + 5b = (-18 + 6b) + 7

Reorder the terms:
2 + 5b = -18 + 7 + 6b

Combine like terms: -18 + 7 = -11
2 + 5b = -11 + 6b

Solving
2 + 5b = -11 + 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.
2 + 5b + -6b = -11 + 6b + -6b

Combine like terms: 5b + -6b = -1b
2 + -1b = -11 + 6b + -6b

Combine like terms: 6b + -6b = 0
2 + -1b = -11 + 0
2 + -1b = -11

Add '-2' to each side of the equation.
2 + -2 + -1b = -11 + -2

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

Combine like terms: -11 + -2 = -13
-1b = -13

Divide each side by '-1'.
b = 13

Simplifying
b = 13

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