2(1+2b)-4(7-4b)=-46

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Solution for 2(1+2b)-4(7-4b)=-46 equation: 


Simplifying
2(1 + 2b) + -4(7 + -4b) = -46
(1 * 2 + 2b * 2) + -4(7 + -4b) = -46
(2 + 4b) + -4(7 + -4b) = -46
2 + 4b + (7 * -4 + -4b * -4) = -46
2 + 4b + (-28 + 16b) = -46

Reorder the terms:
2 + -28 + 4b + 16b = -46

Combine like terms: 2 + -28 = -26
-26 + 4b + 16b = -46

Combine like terms: 4b + 16b = 20b
-26 + 20b = -46

Solving
-26 + 20b = -46

Solving for variable 'b'.

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

Add '26' to each side of the equation.
-26 + 26 + 20b = -46 + 26

Combine like terms: -26 + 26 = 0
0 + 20b = -46 + 26
20b = -46 + 26

Combine like terms: -46 + 26 = -20
20b = -20

Divide each side by '20'.
b = -1

Simplifying
b = -1

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