24-b=3(-b+1)+56

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Solution for 24-b=3(-b+1)+56 equation:


Simplifying
24 + -1b = 3(-1b + 1) + 56

Reorder the terms:
24 + -1b = 3(1 + -1b) + 56
24 + -1b = (1 * 3 + -1b * 3) + 56
24 + -1b = (3 + -3b) + 56

Reorder the terms:
24 + -1b = 3 + 56 + -3b

Combine like terms: 3 + 56 = 59
24 + -1b = 59 + -3b

Solving
24 + -1b = 59 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
24 + -1b + 3b = 59 + -3b + 3b

Combine like terms: -1b + 3b = 2b
24 + 2b = 59 + -3b + 3b

Combine like terms: -3b + 3b = 0
24 + 2b = 59 + 0
24 + 2b = 59

Add '-24' to each side of the equation.
24 + -24 + 2b = 59 + -24

Combine like terms: 24 + -24 = 0
0 + 2b = 59 + -24
2b = 59 + -24

Combine like terms: 59 + -24 = 35
2b = 35

Divide each side by '2'.
b = 17.5

Simplifying
b = 17.5

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