4(b-4)+9=2(4b-6)

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Solution for 4(b-4)+9=2(4b-6) equation:


Simplifying
4(b + -4) + 9 = 2(4b + -6)

Reorder the terms:
4(-4 + b) + 9 = 2(4b + -6)
(-4 * 4 + b * 4) + 9 = 2(4b + -6)
(-16 + 4b) + 9 = 2(4b + -6)

Reorder the terms:
-16 + 9 + 4b = 2(4b + -6)

Combine like terms: -16 + 9 = -7
-7 + 4b = 2(4b + -6)

Reorder the terms:
-7 + 4b = 2(-6 + 4b)
-7 + 4b = (-6 * 2 + 4b * 2)
-7 + 4b = (-12 + 8b)

Solving
-7 + 4b = -12 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
-7 + 4b + -8b = -12 + 8b + -8b

Combine like terms: 4b + -8b = -4b
-7 + -4b = -12 + 8b + -8b

Combine like terms: 8b + -8b = 0
-7 + -4b = -12 + 0
-7 + -4b = -12

Add '7' to each side of the equation.
-7 + 7 + -4b = -12 + 7

Combine like terms: -7 + 7 = 0
0 + -4b = -12 + 7
-4b = -12 + 7

Combine like terms: -12 + 7 = -5
-4b = -5

Divide each side by '-4'.
b = 1.25

Simplifying
b = 1.25

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