(29b-9)-7(4b+1)=-4

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Solution for (29b-9)-7(4b+1)=-4 equation:


Simplifying
(29b + -9) + -7(4b + 1) = -4

Reorder the terms:
(-9 + 29b) + -7(4b + 1) = -4

Remove parenthesis around (-9 + 29b)
-9 + 29b + -7(4b + 1) = -4

Reorder the terms:
-9 + 29b + -7(1 + 4b) = -4
-9 + 29b + (1 * -7 + 4b * -7) = -4
-9 + 29b + (-7 + -28b) = -4

Reorder the terms:
-9 + -7 + 29b + -28b = -4

Combine like terms: -9 + -7 = -16
-16 + 29b + -28b = -4

Combine like terms: 29b + -28b = 1b
-16 + 1b = -4

Solving
-16 + 1b = -4

Solving for variable 'b'.

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

Add '16' to each side of the equation.
-16 + 16 + 1b = -4 + 16

Combine like terms: -16 + 16 = 0
0 + 1b = -4 + 16
1b = -4 + 16

Combine like terms: -4 + 16 = 12
1b = 12

Divide each side by '1'.
b = 12

Simplifying
b = 12

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