(13b-1)-4(3b+4)=-7

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Solution for (13b-1)-4(3b+4)=-7 equation:


Simplifying
(13b + -1) + -4(3b + 4) = -7

Reorder the terms:
(-1 + 13b) + -4(3b + 4) = -7

Remove parenthesis around (-1 + 13b)
-1 + 13b + -4(3b + 4) = -7

Reorder the terms:
-1 + 13b + -4(4 + 3b) = -7
-1 + 13b + (4 * -4 + 3b * -4) = -7
-1 + 13b + (-16 + -12b) = -7

Reorder the terms:
-1 + -16 + 13b + -12b = -7

Combine like terms: -1 + -16 = -17
-17 + 13b + -12b = -7

Combine like terms: 13b + -12b = 1b
-17 + 1b = -7

Solving
-17 + 1b = -7

Solving for variable 'b'.

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

Add '17' to each side of the equation.
-17 + 17 + 1b = -7 + 17

Combine like terms: -17 + 17 = 0
0 + 1b = -7 + 17
1b = -7 + 17

Combine like terms: -7 + 17 = 10
1b = 10

Divide each side by '1'.
b = 10

Simplifying
b = 10

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