270=-6(6b-3)

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Solution for 270=-6(6b-3) equation:


Simplifying
270 = -6(6b + -3)

Reorder the terms:
270 = -6(-3 + 6b)
270 = (-3 * -6 + 6b * -6)
270 = (18 + -36b)

Solving
270 = 18 + -36b

Solving for variable 'b'.

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

Add '36b' to each side of the equation.
270 + 36b = 18 + -36b + 36b

Combine like terms: -36b + 36b = 0
270 + 36b = 18 + 0
270 + 36b = 18

Add '-270' to each side of the equation.
270 + -270 + 36b = 18 + -270

Combine like terms: 270 + -270 = 0
0 + 36b = 18 + -270
36b = 18 + -270

Combine like terms: 18 + -270 = -252
36b = -252

Divide each side by '36'.
b = -7

Simplifying
b = -7

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