5z+4(4-z)=-(2-4)+10

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Solution for 5z+4(4-z)=-(2-4)+10 equation: 


Simplifying
5z + 4(4 + -1z) = -1(2 + -4) + 10
5z + (4 * 4 + -1z * 4) = -1(2 + -4) + 10
5z + (16 + -4z) = -1(2 + -4) + 10

Reorder the terms:
16 + 5z + -4z = -1(2 + -4) + 10

Combine like terms: 5z + -4z = 1z
16 + 1z = -1(2 + -4) + 10

Combine like terms: 2 + -4 = -2
16 + 1z = -1(-2) + 10

Multiply -1 * -2
16 + 1z = 2 + 10

Combine like terms: 2 + 10 = 12
16 + 1z = 12

Solving
16 + 1z = 12

Solving for variable 'z'.

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

Add '-16' to each side of the equation.
16 + -16 + 1z = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 1z = 12 + -16
1z = 12 + -16

Combine like terms: 12 + -16 = -4
1z = -4

Divide each side by '1'.
z = -4

Simplifying
z = -4

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