10b-4=3(b-15)

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Solution for 10b-4=3(b-15) equation:


Simplifying
10b + -4 = 3(b + -15)

Reorder the terms:
-4 + 10b = 3(b + -15)

Reorder the terms:
-4 + 10b = 3(-15 + b)
-4 + 10b = (-15 * 3 + b * 3)
-4 + 10b = (-45 + 3b)

Solving
-4 + 10b = -45 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
-4 + 10b + -3b = -45 + 3b + -3b

Combine like terms: 10b + -3b = 7b
-4 + 7b = -45 + 3b + -3b

Combine like terms: 3b + -3b = 0
-4 + 7b = -45 + 0
-4 + 7b = -45

Add '4' to each side of the equation.
-4 + 4 + 7b = -45 + 4

Combine like terms: -4 + 4 = 0
0 + 7b = -45 + 4
7b = -45 + 4

Combine like terms: -45 + 4 = -41
7b = -41

Divide each side by '7'.
b = -5.857142857

Simplifying
b = -5.857142857

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