41=-2(21-b)+3(b-4)

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Solution for 41=-2(21-b)+3(b-4) equation:


Simplifying
41 = -2(21 + -1b) + 3(b + -4)
41 = (21 * -2 + -1b * -2) + 3(b + -4)
41 = (-42 + 2b) + 3(b + -4)

Reorder the terms:
41 = -42 + 2b + 3(-4 + b)
41 = -42 + 2b + (-4 * 3 + b * 3)
41 = -42 + 2b + (-12 + 3b)

Reorder the terms:
41 = -42 + -12 + 2b + 3b

Combine like terms: -42 + -12 = -54
41 = -54 + 2b + 3b

Combine like terms: 2b + 3b = 5b
41 = -54 + 5b

Solving
41 = -54 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
41 + -5b = -54 + 5b + -5b

Combine like terms: 5b + -5b = 0
41 + -5b = -54 + 0
41 + -5b = -54

Add '-41' to each side of the equation.
41 + -41 + -5b = -54 + -41

Combine like terms: 41 + -41 = 0
0 + -5b = -54 + -41
-5b = -54 + -41

Combine like terms: -54 + -41 = -95
-5b = -95

Divide each side by '-5'.
b = 19

Simplifying
b = 19

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