4(z+7)=5z-4

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


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

Reorder the terms:
4(7 + z) = 5z + -4
(7 * 4 + z * 4) = 5z + -4
(28 + 4z) = 5z + -4

Reorder the terms:
28 + 4z = -4 + 5z

Solving
28 + 4z = -4 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
28 + 4z + -5z = -4 + 5z + -5z

Combine like terms: 4z + -5z = -1z
28 + -1z = -4 + 5z + -5z

Combine like terms: 5z + -5z = 0
28 + -1z = -4 + 0
28 + -1z = -4

Add '-28' to each side of the equation.
28 + -28 + -1z = -4 + -28

Combine like terms: 28 + -28 = 0
0 + -1z = -4 + -28
-1z = -4 + -28

Combine like terms: -4 + -28 = -32
-1z = -32

Divide each side by '-1'.
z = 32

Simplifying
z = 32

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