199=5(5-7b)+6b

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Solution for 199=5(5-7b)+6b equation:


Simplifying
199 = 5(5 + -7b) + 6b
199 = (5 * 5 + -7b * 5) + 6b
199 = (25 + -35b) + 6b

Combine like terms: -35b + 6b = -29b
199 = 25 + -29b

Solving
199 = 25 + -29b

Solving for variable 'b'.

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

Add '29b' to each side of the equation.
199 + 29b = 25 + -29b + 29b

Combine like terms: -29b + 29b = 0
199 + 29b = 25 + 0
199 + 29b = 25

Add '-199' to each side of the equation.
199 + -199 + 29b = 25 + -199

Combine like terms: 199 + -199 = 0
0 + 29b = 25 + -199
29b = 25 + -199

Combine like terms: 25 + -199 = -174
29b = -174

Divide each side by '29'.
b = -6

Simplifying
b = -6

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