9=6(-b+7)+7(b-5)

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Solution for 9=6(-b+7)+7(b-5) equation:


Simplifying
9 = 6(-1b + 7) + 7(b + -5)

Reorder the terms:
9 = 6(7 + -1b) + 7(b + -5)
9 = (7 * 6 + -1b * 6) + 7(b + -5)
9 = (42 + -6b) + 7(b + -5)

Reorder the terms:
9 = 42 + -6b + 7(-5 + b)
9 = 42 + -6b + (-5 * 7 + b * 7)
9 = 42 + -6b + (-35 + 7b)

Reorder the terms:
9 = 42 + -35 + -6b + 7b

Combine like terms: 42 + -35 = 7
9 = 7 + -6b + 7b

Combine like terms: -6b + 7b = 1b
9 = 7 + 1b

Solving
9 = 7 + 1b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
9 + -1b = 7 + 1b + -1b

Combine like terms: 1b + -1b = 0
9 + -1b = 7 + 0
9 + -1b = 7

Add '-9' to each side of the equation.
9 + -9 + -1b = 7 + -9

Combine like terms: 9 + -9 = 0
0 + -1b = 7 + -9
-1b = 7 + -9

Combine like terms: 7 + -9 = -2
-1b = -2

Divide each side by '-1'.
b = 2

Simplifying
b = 2

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