38b=4(4b-1)-84

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Solution for 38b=4(4b-1)-84 equation:


Simplifying
38b = 4(4b + -1) + -84

Reorder the terms:
38b = 4(-1 + 4b) + -84
38b = (-1 * 4 + 4b * 4) + -84
38b = (-4 + 16b) + -84

Reorder the terms:
38b = -4 + -84 + 16b

Combine like terms: -4 + -84 = -88
38b = -88 + 16b

Solving
38b = -88 + 16b

Solving for variable 'b'.

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

Add '-16b' to each side of the equation.
38b + -16b = -88 + 16b + -16b

Combine like terms: 38b + -16b = 22b
22b = -88 + 16b + -16b

Combine like terms: 16b + -16b = 0
22b = -88 + 0
22b = -88

Divide each side by '22'.
b = -4

Simplifying
b = -4

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