15-2(b-7)+b=10

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Solution for 15-2(b-7)+b=10 equation: 


Simplifying
15 + -2(b + -7) + b = 10

Reorder the terms:
15 + -2(-7 + b) + b = 10
15 + (-7 * -2 + b * -2) + b = 10
15 + (14 + -2b) + b = 10

Combine like terms: 15 + 14 = 29
29 + -2b + b = 10

Combine like terms: -2b + b = -1b
29 + -1b = 10

Solving
29 + -1b = 10

Solving for variable 'b'.

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

Add '-29' to each side of the equation.
29 + -29 + -1b = 10 + -29

Combine like terms: 29 + -29 = 0
0 + -1b = 10 + -29
-1b = 10 + -29

Combine like terms: 10 + -29 = -19
-1b = -19

Divide each side by '-1'.
b = 19

Simplifying
b = 19

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