(29b-1)-7(4b+1)=-6

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Solution for (29b-1)-7(4b+1)=-6 equation:


Simplifying
(29b + -1) + -7(4b + 1) = -6

Reorder the terms:
(-1 + 29b) + -7(4b + 1) = -6

Remove parenthesis around (-1 + 29b)
-1 + 29b + -7(4b + 1) = -6

Reorder the terms:
-1 + 29b + -7(1 + 4b) = -6
-1 + 29b + (1 * -7 + 4b * -7) = -6
-1 + 29b + (-7 + -28b) = -6

Reorder the terms:
-1 + -7 + 29b + -28b = -6

Combine like terms: -1 + -7 = -8
-8 + 29b + -28b = -6

Combine like terms: 29b + -28b = 1b
-8 + 1b = -6

Solving
-8 + 1b = -6

Solving for variable 'b'.

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

Add '8' to each side of the equation.
-8 + 8 + 1b = -6 + 8

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

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

Divide each side by '1'.
b = 2

Simplifying
b = 2

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