213=-8(8-5b)-3

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Solution for 213=-8(8-5b)-3 equation:


Simplifying
213 = -8(8 + -5b) + -3
213 = (8 * -8 + -5b * -8) + -3
213 = (-64 + 40b) + -3

Reorder the terms:
213 = -64 + -3 + 40b

Combine like terms: -64 + -3 = -67
213 = -67 + 40b

Solving
213 = -67 + 40b

Solving for variable 'b'.

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

Add '-40b' to each side of the equation.
213 + -40b = -67 + 40b + -40b

Combine like terms: 40b + -40b = 0
213 + -40b = -67 + 0
213 + -40b = -67

Add '-213' to each side of the equation.
213 + -213 + -40b = -67 + -213

Combine like terms: 213 + -213 = 0
0 + -40b = -67 + -213
-40b = -67 + -213

Combine like terms: -67 + -213 = -280
-40b = -280

Divide each side by '-40'.
b = 7

Simplifying
b = 7

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