B-6[B-5(5-B)]=255

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Solution for B-6[B-5(5-B)]=255 equation:


Simplifying
B + -6[B + -5(5 + -1B)] = 255
B + -6[B + (5 * -5 + -1B * -5)] = 255
B + -6[B + (-25 + 5B)] = 255

Reorder the terms:
B + -6[-25 + B + 5B] = 255

Combine like terms: B + 5B = 6B
B + -6[-25 + 6B] = 255
B + [-25 * -6 + 6B * -6] = 255
B + [150 + -36B] = 255

Reorder the terms:
150 + B + -36B = 255

Combine like terms: B + -36B = -35B
150 + -35B = 255

Solving
150 + -35B = 255

Solving for variable 'B'.

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

Add '-150' to each side of the equation.
150 + -150 + -35B = 255 + -150

Combine like terms: 150 + -150 = 0
0 + -35B = 255 + -150
-35B = 255 + -150

Combine like terms: 255 + -150 = 105
-35B = 105

Divide each side by '-35'.
B = -3

Simplifying
B = -3

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