58=-2(22-b)+4(b-3)

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Solution for 58=-2(22-b)+4(b-3) equation:


Simplifying
58 = -2(22 + -1b) + 4(b + -3)
58 = (22 * -2 + -1b * -2) + 4(b + -3)
58 = (-44 + 2b) + 4(b + -3)

Reorder the terms:
58 = -44 + 2b + 4(-3 + b)
58 = -44 + 2b + (-3 * 4 + b * 4)
58 = -44 + 2b + (-12 + 4b)

Reorder the terms:
58 = -44 + -12 + 2b + 4b

Combine like terms: -44 + -12 = -56
58 = -56 + 2b + 4b

Combine like terms: 2b + 4b = 6b
58 = -56 + 6b

Solving
58 = -56 + 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.
58 + -6b = -56 + 6b + -6b

Combine like terms: 6b + -6b = 0
58 + -6b = -56 + 0
58 + -6b = -56

Add '-58' to each side of the equation.
58 + -58 + -6b = -56 + -58

Combine like terms: 58 + -58 = 0
0 + -6b = -56 + -58
-6b = -56 + -58

Combine like terms: -56 + -58 = -114
-6b = -114

Divide each side by '-6'.
b = 19

Simplifying
b = 19

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