3(b-3)-4=4b-28

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Solution for 3(b-3)-4=4b-28 equation:


Simplifying
3(b + -3) + -4 = 4b + -28

Reorder the terms:
3(-3 + b) + -4 = 4b + -28
(-3 * 3 + b * 3) + -4 = 4b + -28
(-9 + 3b) + -4 = 4b + -28

Reorder the terms:
-9 + -4 + 3b = 4b + -28

Combine like terms: -9 + -4 = -13
-13 + 3b = 4b + -28

Reorder the terms:
-13 + 3b = -28 + 4b

Solving
-13 + 3b = -28 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
-13 + 3b + -4b = -28 + 4b + -4b

Combine like terms: 3b + -4b = -1b
-13 + -1b = -28 + 4b + -4b

Combine like terms: 4b + -4b = 0
-13 + -1b = -28 + 0
-13 + -1b = -28

Add '13' to each side of the equation.
-13 + 13 + -1b = -28 + 13

Combine like terms: -13 + 13 = 0
0 + -1b = -28 + 13
-1b = -28 + 13

Combine like terms: -28 + 13 = -15
-1b = -15

Divide each side by '-1'.
b = 15

Simplifying
b = 15

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