b=1-2(3b+4)

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Solution for b=1-2(3b+4) equation:


Simplifying
b = 1 + -2(3b + 4)

Reorder the terms:
b = 1 + -2(4 + 3b)
b = 1 + (4 * -2 + 3b * -2)
b = 1 + (-8 + -6b)

Combine like terms: 1 + -8 = -7
b = -7 + -6b

Solving
b = -7 + -6b

Solving for variable 'b'.

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

Add '6b' to each side of the equation.
b + 6b = -7 + -6b + 6b

Combine like terms: b + 6b = 7b
7b = -7 + -6b + 6b

Combine like terms: -6b + 6b = 0
7b = -7 + 0
7b = -7

Divide each side by '7'.
b = -1

Simplifying
b = -1

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