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

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


Simplifying
4(4b + 5) + -1b = 4(4b + 6)

Reorder the terms:
4(5 + 4b) + -1b = 4(4b + 6)
(5 * 4 + 4b * 4) + -1b = 4(4b + 6)
(20 + 16b) + -1b = 4(4b + 6)

Combine like terms: 16b + -1b = 15b
20 + 15b = 4(4b + 6)

Reorder the terms:
20 + 15b = 4(6 + 4b)
20 + 15b = (6 * 4 + 4b * 4)
20 + 15b = (24 + 16b)

Solving
20 + 15b = 24 + 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.
20 + 15b + -16b = 24 + 16b + -16b

Combine like terms: 15b + -16b = -1b
20 + -1b = 24 + 16b + -16b

Combine like terms: 16b + -16b = 0
20 + -1b = 24 + 0
20 + -1b = 24

Add '-20' to each side of the equation.
20 + -20 + -1b = 24 + -20

Combine like terms: 20 + -20 = 0
0 + -1b = 24 + -20
-1b = 24 + -20

Combine like terms: 24 + -20 = 4
-1b = 4

Divide each side by '-1'.
b = -4

Simplifying
b = -4

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