6b+4=5(3b+8)

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Solution for 6b+4=5(3b+8) equation:


Simplifying
6b + 4 = 5(3b + 8)

Reorder the terms:
4 + 6b = 5(3b + 8)

Reorder the terms:
4 + 6b = 5(8 + 3b)
4 + 6b = (8 * 5 + 3b * 5)
4 + 6b = (40 + 15b)

Solving
4 + 6b = 40 + 15b

Solving for variable 'b'.

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

Add '-15b' to each side of the equation.
4 + 6b + -15b = 40 + 15b + -15b

Combine like terms: 6b + -15b = -9b
4 + -9b = 40 + 15b + -15b

Combine like terms: 15b + -15b = 0
4 + -9b = 40 + 0
4 + -9b = 40

Add '-4' to each side of the equation.
4 + -4 + -9b = 40 + -4

Combine like terms: 4 + -4 = 0
0 + -9b = 40 + -4
-9b = 40 + -4

Combine like terms: 40 + -4 = 36
-9b = 36

Divide each side by '-9'.
b = -4

Simplifying
b = -4

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