(7b-5)-3(2b+3)=-7

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Solution for (7b-5)-3(2b+3)=-7 equation:


Simplifying
(7b + -5) + -3(2b + 3) = -7

Reorder the terms:
(-5 + 7b) + -3(2b + 3) = -7

Remove parenthesis around (-5 + 7b)
-5 + 7b + -3(2b + 3) = -7

Reorder the terms:
-5 + 7b + -3(3 + 2b) = -7
-5 + 7b + (3 * -3 + 2b * -3) = -7
-5 + 7b + (-9 + -6b) = -7

Reorder the terms:
-5 + -9 + 7b + -6b = -7

Combine like terms: -5 + -9 = -14
-14 + 7b + -6b = -7

Combine like terms: 7b + -6b = 1b
-14 + 1b = -7

Solving
-14 + 1b = -7

Solving for variable 'b'.

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

Add '14' to each side of the equation.
-14 + 14 + 1b = -7 + 14

Combine like terms: -14 + 14 = 0
0 + 1b = -7 + 14
1b = -7 + 14

Combine like terms: -7 + 14 = 7
1b = 7

Divide each side by '1'.
b = 7

Simplifying
b = 7

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