84=6(-4b+5)-3b

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Solution for 84=6(-4b+5)-3b equation:


Simplifying
84 = 6(-4b + 5) + -3b

Reorder the terms:
84 = 6(5 + -4b) + -3b
84 = (5 * 6 + -4b * 6) + -3b
84 = (30 + -24b) + -3b

Combine like terms: -24b + -3b = -27b
84 = 30 + -27b

Solving
84 = 30 + -27b

Solving for variable 'b'.

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

Add '27b' to each side of the equation.
84 + 27b = 30 + -27b + 27b

Combine like terms: -27b + 27b = 0
84 + 27b = 30 + 0
84 + 27b = 30

Add '-84' to each side of the equation.
84 + -84 + 27b = 30 + -84

Combine like terms: 84 + -84 = 0
0 + 27b = 30 + -84
27b = 30 + -84

Combine like terms: 30 + -84 = -54
27b = -54

Divide each side by '27'.
b = -2

Simplifying
b = -2

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