38=-2(24-b)+3(b-3)

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Solution for 38=-2(24-b)+3(b-3) equation:


Simplifying
38 = -2(24 + -1b) + 3(b + -3)
38 = (24 * -2 + -1b * -2) + 3(b + -3)
38 = (-48 + 2b) + 3(b + -3)

Reorder the terms:
38 = -48 + 2b + 3(-3 + b)
38 = -48 + 2b + (-3 * 3 + b * 3)
38 = -48 + 2b + (-9 + 3b)

Reorder the terms:
38 = -48 + -9 + 2b + 3b

Combine like terms: -48 + -9 = -57
38 = -57 + 2b + 3b

Combine like terms: 2b + 3b = 5b
38 = -57 + 5b

Solving
38 = -57 + 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.
38 + -5b = -57 + 5b + -5b

Combine like terms: 5b + -5b = 0
38 + -5b = -57 + 0
38 + -5b = -57

Add '-38' to each side of the equation.
38 + -38 + -5b = -57 + -38

Combine like terms: 38 + -38 = 0
0 + -5b = -57 + -38
-5b = -57 + -38

Combine like terms: -57 + -38 = -95
-5b = -95

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

Simplifying
b = 19

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