-7b-3(b-7)=-10b-3(b-9)

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Solution for -7b-3(b-7)=-10b-3(b-9) equation:


Simplifying
-7b + -3(b + -7) = -10b + -3(b + -9)

Reorder the terms:
-7b + -3(-7 + b) = -10b + -3(b + -9)
-7b + (-7 * -3 + b * -3) = -10b + -3(b + -9)
-7b + (21 + -3b) = -10b + -3(b + -9)

Reorder the terms:
21 + -7b + -3b = -10b + -3(b + -9)

Combine like terms: -7b + -3b = -10b
21 + -10b = -10b + -3(b + -9)

Reorder the terms:
21 + -10b = -10b + -3(-9 + b)
21 + -10b = -10b + (-9 * -3 + b * -3)
21 + -10b = -10b + (27 + -3b)

Reorder the terms:
21 + -10b = 27 + -10b + -3b

Combine like terms: -10b + -3b = -13b
21 + -10b = 27 + -13b

Solving
21 + -10b = 27 + -13b

Solving for variable 'b'.

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

Add '13b' to each side of the equation.
21 + -10b + 13b = 27 + -13b + 13b

Combine like terms: -10b + 13b = 3b
21 + 3b = 27 + -13b + 13b

Combine like terms: -13b + 13b = 0
21 + 3b = 27 + 0
21 + 3b = 27

Add '-21' to each side of the equation.
21 + -21 + 3b = 27 + -21

Combine like terms: 21 + -21 = 0
0 + 3b = 27 + -21
3b = 27 + -21

Combine like terms: 27 + -21 = 6
3b = 6

Divide each side by '3'.
b = 2

Simplifying
b = 2

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