28-10b=-10(7b-9)-2b

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Solution for 28-10b=-10(7b-9)-2b equation: 


Simplifying
28 + -10b = -10(7b + -9) + -2b

Reorder the terms:
28 + -10b = -10(-9 + 7b) + -2b
28 + -10b = (-9 * -10 + 7b * -10) + -2b
28 + -10b = (90 + -70b) + -2b

Combine like terms: -70b + -2b = -72b
28 + -10b = 90 + -72b

Solving
28 + -10b = 90 + -72b

Solving for variable 'b'.

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

Add '72b' to each side of the equation.
28 + -10b + 72b = 90 + -72b + 72b

Combine like terms: -10b + 72b = 62b
28 + 62b = 90 + -72b + 72b

Combine like terms: -72b + 72b = 0
28 + 62b = 90 + 0
28 + 62b = 90

Add '-28' to each side of the equation.
28 + -28 + 62b = 90 + -28

Combine like terms: 28 + -28 = 0
0 + 62b = 90 + -28
62b = 90 + -28

Combine like terms: 90 + -28 = 62
62b = 62

Divide each side by '62'.
b = 1

Simplifying
b = 1

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