(29b-2)-7(4b+3)=-6

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Solution for (29b-2)-7(4b+3)=-6 equation:


Simplifying
(29b + -2) + -7(4b + 3) = -6

Reorder the terms:
(-2 + 29b) + -7(4b + 3) = -6

Remove parenthesis around (-2 + 29b)
-2 + 29b + -7(4b + 3) = -6

Reorder the terms:
-2 + 29b + -7(3 + 4b) = -6
-2 + 29b + (3 * -7 + 4b * -7) = -6
-2 + 29b + (-21 + -28b) = -6

Reorder the terms:
-2 + -21 + 29b + -28b = -6

Combine like terms: -2 + -21 = -23
-23 + 29b + -28b = -6

Combine like terms: 29b + -28b = 1b
-23 + 1b = -6

Solving
-23 + 1b = -6

Solving for variable 'b'.

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

Add '23' to each side of the equation.
-23 + 23 + 1b = -6 + 23

Combine like terms: -23 + 23 = 0
0 + 1b = -6 + 23
1b = -6 + 23

Combine like terms: -6 + 23 = 17
1b = 17

Divide each side by '1'.
b = 17

Simplifying
b = 17

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