282=-7(5b-5)+2

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Solution for 282=-7(5b-5)+2 equation:


Simplifying
282 = -7(5b + -5) + 2

Reorder the terms:
282 = -7(-5 + 5b) + 2
282 = (-5 * -7 + 5b * -7) + 2
282 = (35 + -35b) + 2

Reorder the terms:
282 = 35 + 2 + -35b

Combine like terms: 35 + 2 = 37
282 = 37 + -35b

Solving
282 = 37 + -35b

Solving for variable 'b'.

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

Add '35b' to each side of the equation.
282 + 35b = 37 + -35b + 35b

Combine like terms: -35b + 35b = 0
282 + 35b = 37 + 0
282 + 35b = 37

Add '-282' to each side of the equation.
282 + -282 + 35b = 37 + -282

Combine like terms: 282 + -282 = 0
0 + 35b = 37 + -282
35b = 37 + -282

Combine like terms: 37 + -282 = -245
35b = -245

Divide each side by '35'.
b = -7

Simplifying
b = -7

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