84=4(6b-5)+8

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Solution for 84=4(6b-5)+8 equation:


Simplifying
84 = 4(6b + -5) + 8

Reorder the terms:
84 = 4(-5 + 6b) + 8
84 = (-5 * 4 + 6b * 4) + 8
84 = (-20 + 24b) + 8

Reorder the terms:
84 = -20 + 8 + 24b

Combine like terms: -20 + 8 = -12
84 = -12 + 24b

Solving
84 = -12 + 24b

Solving for variable 'b'.

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

Add '-24b' to each side of the equation.
84 + -24b = -12 + 24b + -24b

Combine like terms: 24b + -24b = 0
84 + -24b = -12 + 0
84 + -24b = -12

Add '-84' to each side of the equation.
84 + -84 + -24b = -12 + -84

Combine like terms: 84 + -84 = 0
0 + -24b = -12 + -84
-24b = -12 + -84

Combine like terms: -12 + -84 = -96
-24b = -96

Divide each side by '-24'.
b = 4

Simplifying
b = 4

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