(13-b)-6(2b+1)=-6

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Solution for (13-b)-6(2b+1)=-6 equation:


Simplifying
(13 + -1b) + -6(2b + 1) = -6

Remove parenthesis around (13 + -1b)
13 + -1b + -6(2b + 1) = -6

Reorder the terms:
13 + -1b + -6(1 + 2b) = -6
13 + -1b + (1 * -6 + 2b * -6) = -6
13 + -1b + (-6 + -12b) = -6

Reorder the terms:
13 + -6 + -1b + -12b = -6

Combine like terms: 13 + -6 = 7
7 + -1b + -12b = -6

Combine like terms: -1b + -12b = -13b
7 + -13b = -6

Solving
7 + -13b = -6

Solving for variable 'b'.

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

Add '-7' to each side of the equation.
7 + -7 + -13b = -6 + -7

Combine like terms: 7 + -7 = 0
0 + -13b = -6 + -7
-13b = -6 + -7

Combine like terms: -6 + -7 = -13
-13b = -13

Divide each side by '-13'.
b = 1

Simplifying
b = 1

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