38=-2(21-z)+4(z-4)

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Solution for 38=-2(21-z)+4(z-4) equation:


Simplifying
38 = -2(21 + -1z) + 4(z + -4)
38 = (21 * -2 + -1z * -2) + 4(z + -4)
38 = (-42 + 2z) + 4(z + -4)

Reorder the terms:
38 = -42 + 2z + 4(-4 + z)
38 = -42 + 2z + (-4 * 4 + z * 4)
38 = -42 + 2z + (-16 + 4z)

Reorder the terms:
38 = -42 + -16 + 2z + 4z

Combine like terms: -42 + -16 = -58
38 = -58 + 2z + 4z

Combine like terms: 2z + 4z = 6z
38 = -58 + 6z

Solving
38 = -58 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
38 + -6z = -58 + 6z + -6z

Combine like terms: 6z + -6z = 0
38 + -6z = -58 + 0
38 + -6z = -58

Add '-38' to each side of the equation.
38 + -38 + -6z = -58 + -38

Combine like terms: 38 + -38 = 0
0 + -6z = -58 + -38
-6z = -58 + -38

Combine like terms: -58 + -38 = -96
-6z = -96

Divide each side by '-6'.
z = 16

Simplifying
z = 16

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