3+(5z-4)=7(-4-2)+4

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Solution for 3+(5z-4)=7(-4-2)+4 equation:


Simplifying
3 + (5z + -4) = 7(-4 + -2) + 4

Reorder the terms:
3 + (-4 + 5z) = 7(-4 + -2) + 4

Remove parenthesis around (-4 + 5z)
3 + -4 + 5z = 7(-4 + -2) + 4

Combine like terms: 3 + -4 = -1
-1 + 5z = 7(-4 + -2) + 4

Combine like terms: -4 + -2 = -6
-1 + 5z = 7(-6) + 4

Multiply 7 * -6
-1 + 5z = -42 + 4

Combine like terms: -42 + 4 = -38
-1 + 5z = -38

Solving
-1 + 5z = -38

Solving for variable 'z'.

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

Add '1' to each side of the equation.
-1 + 1 + 5z = -38 + 1

Combine like terms: -1 + 1 = 0
0 + 5z = -38 + 1
5z = -38 + 1

Combine like terms: -38 + 1 = -37
5z = -37

Divide each side by '5'.
z = -7.4

Simplifying
z = -7.4

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