62=6(8+b)+2+(8-3b)

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Solution for 62=6(8+b)+2+(8-3b) equation: 


Simplifying
62 = 6(8 + b) + 2 + (8 + -3b)
62 = (8 * 6 + b * 6) + 2 + (8 + -3b)
62 = (48 + 6b) + 2 + (8 + -3b)

Remove parenthesis around (8 + -3b)
62 = 48 + 6b + 2 + 8 + -3b

Reorder the terms:
62 = 48 + 2 + 8 + 6b + -3b

Combine like terms: 48 + 2 = 50
62 = 50 + 8 + 6b + -3b

Combine like terms: 50 + 8 = 58
62 = 58 + 6b + -3b

Combine like terms: 6b + -3b = 3b
62 = 58 + 3b

Solving
62 = 58 + 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.
62 + -3b = 58 + 3b + -3b

Combine like terms: 3b + -3b = 0
62 + -3b = 58 + 0
62 + -3b = 58

Add '-62' to each side of the equation.
62 + -62 + -3b = 58 + -62

Combine like terms: 62 + -62 = 0
0 + -3b = 58 + -62
-3b = 58 + -62

Combine like terms: 58 + -62 = -4
-3b = -4

Divide each side by '-3'.
b = 1.333333333

Simplifying
b = 1.333333333

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