b+1-3b=(4+6b)-7

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Solution for b+1-3b=(4+6b)-7 equation:


Simplifying
b + 1 + -3b = (4 + 6b) + -7

Reorder the terms:
1 + b + -3b = (4 + 6b) + -7

Combine like terms: b + -3b = -2b
1 + -2b = (4 + 6b) + -7

Remove parenthesis around (4 + 6b)
1 + -2b = 4 + 6b + -7

Reorder the terms:
1 + -2b = 4 + -7 + 6b

Combine like terms: 4 + -7 = -3
1 + -2b = -3 + 6b

Solving
1 + -2b = -3 + 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.
1 + -2b + -6b = -3 + 6b + -6b

Combine like terms: -2b + -6b = -8b
1 + -8b = -3 + 6b + -6b

Combine like terms: 6b + -6b = 0
1 + -8b = -3 + 0
1 + -8b = -3

Add '-1' to each side of the equation.
1 + -1 + -8b = -3 + -1

Combine like terms: 1 + -1 = 0
0 + -8b = -3 + -1
-8b = -3 + -1

Combine like terms: -3 + -1 = -4
-8b = -4

Divide each side by '-8'.
b = 0.5

Simplifying
b = 0.5

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