7(7-b)=50-2(3+4b)

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Solution for 7(7-b)=50-2(3+4b) equation:


Simplifying
7(7 + -1b) = 50 + -2(3 + 4b)
(7 * 7 + -1b * 7) = 50 + -2(3 + 4b)
(49 + -7b) = 50 + -2(3 + 4b)
49 + -7b = 50 + (3 * -2 + 4b * -2)
49 + -7b = 50 + (-6 + -8b)

Combine like terms: 50 + -6 = 44
49 + -7b = 44 + -8b

Solving
49 + -7b = 44 + -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.
49 + -7b + 8b = 44 + -8b + 8b

Combine like terms: -7b + 8b = 1b
49 + 1b = 44 + -8b + 8b

Combine like terms: -8b + 8b = 0
49 + 1b = 44 + 0
49 + 1b = 44

Add '-49' to each side of the equation.
49 + -49 + 1b = 44 + -49

Combine like terms: 49 + -49 = 0
0 + 1b = 44 + -49
1b = 44 + -49

Combine like terms: 44 + -49 = -5
1b = -5

Divide each side by '1'.
b = -5

Simplifying
b = -5

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