(10b-7)-3(3b+2)=-6

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Solution for (10b-7)-3(3b+2)=-6 equation:


Simplifying
(10b + -7) + -3(3b + 2) = -6

Reorder the terms:
(-7 + 10b) + -3(3b + 2) = -6

Remove parenthesis around (-7 + 10b)
-7 + 10b + -3(3b + 2) = -6

Reorder the terms:
-7 + 10b + -3(2 + 3b) = -6
-7 + 10b + (2 * -3 + 3b * -3) = -6
-7 + 10b + (-6 + -9b) = -6

Reorder the terms:
-7 + -6 + 10b + -9b = -6

Combine like terms: -7 + -6 = -13
-13 + 10b + -9b = -6

Combine like terms: 10b + -9b = 1b
-13 + 1b = -6

Solving
-13 + 1b = -6

Solving for variable 'b'.

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

Add '13' to each side of the equation.
-13 + 13 + 1b = -6 + 13

Combine like terms: -13 + 13 = 0
0 + 1b = -6 + 13
1b = -6 + 13

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

Divide each side by '1'.
b = 7

Simplifying
b = 7

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